Least Common Multiple of 70/617, 420/636, 138/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/617, 420/636, 138/149 quickly i.e. 9660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/617, 420/636, 138/149 is 9660.

LCM(70/617, 420/636, 138/149) = 9660

LCM of 70/617, 420/636, 138/149

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 70/617,420/636,138/149

Given numbers are 70/617,420/636,138/149

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 70,420,138

Least Common Multiple of Numerators i.e. LCM of 70,420,138 is 9660.

GCF of Denominators means GCF of 617,636,149 as per the given fractions.

GCF of 617,636,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,420,138

LCM of Fractions 70/617,420/636,138/149 is 9660

2 70, 420, 138
3 35, 210, 69
5 35, 70, 23
7 7, 14, 23
1, 2, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 2 x 23 = 9660

Least Common Multiple of 70,420,138 with GCF Formula

Least Common Multiple of 70,420,138 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 70,420,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,420,138) = 2

common factors(in case of two or more numbers have common factors) = 210

GCF(70,420,138) x common factors =2 x 210 = 420

LCM(70,420,138) = ( 70 × 420 × 138 ) / 420

LCM(70,420,138) = 4057200 / 420

LCM(70,420,138) = 9660


Lets's calculate GCF of 617,636,149

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9660/1

Therefore the LCM of Fractions 70/617,420/636,138/149 is 9660

Greatest Common Factor of 617,636,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,636,149 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 617,636,149 . The biggest common factor number is the GCF number.
So the greatest common factor 617,636,149 is 1.


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 70/617, 420/636, 138/149

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 70/617, 420/636, 138/149?

Answer: LCM of Numerators as per given numbers 70/617, 420/636, 138/149 is

LCM of Numerators i.e. for 70,420,138 is 9660

GCF of denominators i.e. for 617,636,149 is 1.

Thus, LCM of Fractions is 9660.Finally, LCM of Fractions for 70/617, 420/636, 138/149 is 9660.