Least Common Multiple of 89/120, 88/750, 920/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/120, 88/750, 920/708 quickly i.e. 900680/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/120, 88/750, 920/708 is 900680/6.

LCM(89/120, 88/750, 920/708) = 900680/6

LCM of 89/120, 88/750, 920/708

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 89/120,88/750,920/708

Given numbers are 89/120,88/750,920/708

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 89,88,920

Least Common Multiple of Numerators i.e. LCM of 89,88,920 is 900680.

GCF of Denominators means GCF of 120,750,708 as per the given fractions.

GCF of 120,750,708 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,88,920

LCM of Fractions 89/120,88/750,920/708 is 900680/6

2 89, 88, 920
2 89, 44, 460
2 89, 22, 230
89, 11, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 11 x 115 = 900680

Least Common Multiple of 89,88,920 with GCF Formula

Least Common Multiple of 89,88,920 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 89,88,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,88,920) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(89,88,920) x common factors =1 x 8 = 8

LCM(89,88,920) = ( 89 × 88 × 920 ) / 8

LCM(89,88,920) = 7205440 / 8

LCM(89,88,920) = 900680


Lets's calculate GCF of 120,750,708

2 120, 750, 708
3 60, 375, 354
20, 125, 118

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 900680/6

Therefore the LCM of Fractions 89/120,88/750,920/708 is 900680/6

Greatest Common Factor of 120,750,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,750,708 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 120,750,708 . The biggest common factor number is the GCF number.
So the greatest common factor 120,750,708 is 6.


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 89/120, 88/750, 920/708

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 89/120, 88/750, 920/708?

Answer: LCM of Numerators as per given numbers 89/120, 88/750, 920/708 is

LCM of Numerators i.e. for 89,88,920 is 900680

GCF of denominators i.e. for 120,750,708 is 6.

Thus, LCM of Fractions is 900680/6.Finally, LCM of Fractions for 89/120, 88/750, 920/708 is 900680/6.