Least Common Multiple of 659/970, 144/355, 118/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/970, 144/355, 118/840 quickly i.e. 5598864/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/970, 144/355, 118/840 is 5598864/5.

LCM(659/970, 144/355, 118/840) = 5598864/5

LCM of 659/970, 144/355, 118/840

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 659/970,144/355,118/840

Given numbers are 659/970,144/355,118/840

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 659,144,118

Least Common Multiple of Numerators i.e. LCM of 659,144,118 is 5598864.

GCF of Denominators means GCF of 970,355,840 as per the given fractions.

GCF of 970,355,840 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,144,118

LCM of Fractions 659/970,144/355,118/840 is 5598864/5

2 659, 144, 118
659, 72, 59

∴ So the LCM of the given numbers is 2 x 659 x 72 x 59 = 5598864

Least Common Multiple of 659,144,118 with GCF Formula

Least Common Multiple of 659,144,118 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 659,144,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,144,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(659,144,118) x common factors =1 x 2 = 2

LCM(659,144,118) = ( 659 × 144 × 118 ) / 2

LCM(659,144,118) = 11197728 / 2

LCM(659,144,118) = 5598864


Lets's calculate GCF of 970,355,840

5 970, 355, 840
194, 71, 168

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5598864/5

Therefore the LCM of Fractions 659/970,144/355,118/840 is 5598864/5

Greatest Common Factor of 970,355,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,355,840 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 970,355,840 . The biggest common factor number is the GCF number.
So the greatest common factor 970,355,840 is 5.


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 659/970, 144/355, 118/840

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 659/970, 144/355, 118/840?

Answer: LCM of Numerators as per given numbers 659/970, 144/355, 118/840 is

LCM of Numerators i.e. for 659,144,118 is 5598864

GCF of denominators i.e. for 970,355,840 is 5.

Thus, LCM of Fractions is 5598864/5.Finally, LCM of Fractions for 659/970, 144/355, 118/840 is 5598864/5.