Least Common Multiple of 42/708, 31/888, 152/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/708, 31/888, 152/880 quickly i.e. 24738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/708, 31/888, 152/880 is 24738.

LCM(42/708, 31/888, 152/880) = 24738

LCM of 42/708, 31/888, 152/880

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 42/708,31/888,152/880

Given numbers are 42/708,31/888,152/880

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 42,31,152

Least Common Multiple of Numerators i.e. LCM of 42,31,152 is 98952.

GCF of Denominators means GCF of 708,888,880 as per the given fractions.

GCF of 708,888,880 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,31,152

LCM of Fractions 42/708,31/888,152/880 is 24738

2 42, 31, 152
21, 31, 76

∴ So the LCM of the given numbers is 2 x 21 x 31 x 76 = 98952

Least Common Multiple of 42,31,152 with GCF Formula

Least Common Multiple of 42,31,152 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 42,31,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,31,152) = 1

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

GCF(42,31,152) x common factors =1 x 2 = 2

LCM(42,31,152) = ( 42 × 31 × 152 ) / 2

LCM(42,31,152) = 197904 / 2

LCM(42,31,152) = 98952


Lets's calculate GCF of 708,888,880

2 708, 888, 880
2 354, 444, 440
177, 222, 220

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98952/4

Therefore the LCM of Fractions 42/708,31/888,152/880 is 24738

Greatest Common Factor of 708,888,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,888,880 By Matching Biggest Common Factor Method

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

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 708,888,880 . The biggest common factor number is the GCF number.
So the greatest common factor 708,888,880 is 4.


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 42/708, 31/888, 152/880

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 42/708, 31/888, 152/880?

Answer: LCM of Numerators as per given numbers 42/708, 31/888, 152/880 is

LCM of Numerators i.e. for 42,31,152 is 98952

GCF of denominators i.e. for 708,888,880 is 4.

Thus, LCM of Fractions is 24738.Finally, LCM of Fractions for 42/708, 31/888, 152/880 is 24738.