Least Common Multiple of 65/98, 90/98, 920/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/98, 90/98, 920/210 quickly i.e. 107640/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/98, 90/98, 920/210 is 107640/14.

LCM(65/98, 90/98, 920/210) = 107640/14

LCM of 65/98, 90/98, 920/210

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 65/98,90/98,920/210

Given numbers are 65/98,90/98,920/210

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 65,90,920

Least Common Multiple of Numerators i.e. LCM of 65,90,920 is 107640.

GCF of Denominators means GCF of 98,98,210 as per the given fractions.

GCF of 98,98,210 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,90,920

LCM of Fractions 65/98,90/98,920/210 is 107640/14

2 65, 90, 920
5 65, 45, 460
13, 9, 92

∴ So the LCM of the given numbers is 2 x 5 x 13 x 9 x 92 = 107640

Least Common Multiple of 65,90,920 with GCF Formula

Least Common Multiple of 65,90,920 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 65,90,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,90,920) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(65,90,920) x common factors =5 x 10 = 50

LCM(65,90,920) = ( 65 × 90 × 920 ) / 50

LCM(65,90,920) = 5382000 / 50

LCM(65,90,920) = 107640


Lets's calculate GCF of 98,98,210

2 98, 98, 210
7 49, 49, 105
7, 7, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107640/14

Therefore the LCM of Fractions 65/98,90/98,920/210 is 107640/14

Greatest Common Factor of 98,98,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,98,210 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 98

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

1,2,7,14,49,98

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 98,98,210 . The biggest common factor number is the GCF number.
So the greatest common factor 98,98,210 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 65/98, 90/98, 920/210

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 65/98, 90/98, 920/210?

Answer: LCM of Numerators as per given numbers 65/98, 90/98, 920/210 is

LCM of Numerators i.e. for 65,90,920 is 107640

GCF of denominators i.e. for 98,98,210 is 14.

Thus, LCM of Fractions is 107640/14.Finally, LCM of Fractions for 65/98, 90/98, 920/210 is 107640/14.