Least Common Multiple of 90/98, 65/14, 82/84, 70/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/98, 65/14, 82/84, 70/672 quickly i.e. 23985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/98, 65/14, 82/84, 70/672 is 23985.

LCM(90/98, 65/14, 82/84, 70/672) = 23985

LCM of 90/98, 65/14, 82/84, 70/672

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 90/98,65/14,82/84,70/672

Given numbers are 90/98,65/14,82/84,70/672

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 90,65,82,70

Least Common Multiple of Numerators i.e. LCM of 90,65,82,70 is 335790.

GCF of Denominators means GCF of 98,14,84,672 as per the given fractions.

GCF of 98,14,84,672 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,65,82,70

LCM of Fractions 90/98,65/14,82/84,70/672 is 23985

2 90, 65, 82, 70
5 45, 65, 41, 35
9, 13, 41, 7

∴ So the LCM of the given numbers is 2 x 5 x 9 x 13 x 41 x 7 = 335790

Least Common Multiple of 90,65,82,70 with GCF Formula

Least Common Multiple of 90,65,82,70 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 90,65,82,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,65,82,70) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(90,65,82,70) x common factors =1 x 100 = 100

LCM(90,65,82,70) = ( 90 × 65 × 82 × 70 ) / 100

LCM(90,65,82,70) = 33579000 / 100

LCM(90,65,82,70) = 335790


Lets's calculate GCF of 98,14,84,672

2 98, 14, 84, 672
7 49, 7, 42, 336
1, 7, 6, 48

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335790/14

Therefore the LCM of Fractions 90/98,65/14,82/84,70/672 is 23985

Greatest Common Factor of 98,14,84,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,14,84,672 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 98,14,84,672 . The biggest common factor number is the GCF number.
So the greatest common factor 98,14,84,672 is 14.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 90/98, 65/14, 82/84, 70/672

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 90/98, 65/14, 82/84, 70/672?

Answer: LCM of Numerators as per given numbers 90/98, 65/14, 82/84, 70/672 is

LCM of Numerators i.e. for 90,65,82,70 is 335790

GCF of denominators i.e. for 98,14,84,672 is 14.

Thus, LCM of Fractions is 23985.Finally, LCM of Fractions for 90/98, 65/14, 82/84, 70/672 is 23985.