Least Common Multiple of 12/120, 76/416, 983/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/120, 76/416, 983/832 quickly i.e. 224124/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/120, 76/416, 983/832 is 224124/8.

LCM(12/120, 76/416, 983/832) = 224124/8

LCM of 12/120, 76/416, 983/832

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 12/120,76/416,983/832

Given numbers are 12/120,76/416,983/832

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 12,76,983

Least Common Multiple of Numerators i.e. LCM of 12,76,983 is 224124.

GCF of Denominators means GCF of 120,416,832 as per the given fractions.

GCF of 120,416,832 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,76,983

LCM of Fractions 12/120,76/416,983/832 is 224124/8

2 12, 76, 983
2 6, 38, 983
3, 19, 983

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 983 = 224124

Least Common Multiple of 12,76,983 with GCF Formula

Least Common Multiple of 12,76,983 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 12,76,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,76,983) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,76,983) x common factors =1 x 4 = 4

LCM(12,76,983) = ( 12 × 76 × 983 ) / 4

LCM(12,76,983) = 896496 / 4

LCM(12,76,983) = 224124


Lets's calculate GCF of 120,416,832

2 120, 416, 832
2 60, 208, 416
2 30, 104, 208
15, 52, 104

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224124/8

Therefore the LCM of Fractions 12/120,76/416,983/832 is 224124/8

Greatest Common Factor of 120,416,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,416,832 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 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 120,416,832 . The biggest common factor number is the GCF number.
So the greatest common factor 120,416,832 is 8.


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 12/120, 76/416, 983/832

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 12/120, 76/416, 983/832?

Answer: LCM of Numerators as per given numbers 12/120, 76/416, 983/832 is

LCM of Numerators i.e. for 12,76,983 is 224124

GCF of denominators i.e. for 120,416,832 is 8.

Thus, LCM of Fractions is 224124/8.Finally, LCM of Fractions for 12/120, 76/416, 983/832 is 224124/8.