Least Common Multiple of 89/14, 48/82, 84/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/14, 48/82, 84/490 quickly i.e. 14952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/14, 48/82, 84/490 is 14952.

LCM(89/14, 48/82, 84/490) = 14952

LCM of 89/14, 48/82, 84/490

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 89/14,48/82,84/490

Given numbers are 89/14,48/82,84/490

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 89,48,84

Least Common Multiple of Numerators i.e. LCM of 89,48,84 is 29904.

GCF of Denominators means GCF of 14,82,490 as per the given fractions.

GCF of 14,82,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,48,84

LCM of Fractions 89/14,48/82,84/490 is 14952

2 89, 48, 84
2 89, 24, 42
3 89, 12, 21
89, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 89 x 4 x 7 = 29904

Least Common Multiple of 89,48,84 with GCF Formula

Least Common Multiple of 89,48,84 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 89,48,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,48,84) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(89,48,84) x common factors =1 x 12 = 12

LCM(89,48,84) = ( 89 × 48 × 84 ) / 12

LCM(89,48,84) = 358848 / 12

LCM(89,48,84) = 29904


Lets's calculate GCF of 14,82,490

2 14, 82, 490
7, 41, 245

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29904/2

Therefore the LCM of Fractions 89/14,48/82,84/490 is 14952

Greatest Common Factor of 14,82,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,82,490 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 14,82,490 . The biggest common factor number is the GCF number.
So the greatest common factor 14,82,490 is 2.


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 89/14, 48/82, 84/490

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 89/14, 48/82, 84/490?

Answer: LCM of Numerators as per given numbers 89/14, 48/82, 84/490 is

LCM of Numerators i.e. for 89,48,84 is 29904

GCF of denominators i.e. for 14,82,490 is 2.

Thus, LCM of Fractions is 14952.Finally, LCM of Fractions for 89/14, 48/82, 84/490 is 14952.