Least Common Multiple of 51/880, 7979/4992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/880, 7979/4992 quickly i.e. 406929/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/880, 7979/4992 is 406929/16.

LCM(51/880, 7979/4992) = 406929/16

LCM of 51/880, 7979/4992

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 51/880,7979/4992

Given numbers are 51/880,7979/4992

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 51,7979

Least Common Multiple of Numerators i.e. LCM of 51,7979 is 406929.

GCF of Denominators means GCF of 880,4992 as per the given fractions.

GCF of 880,4992 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,7979

LCM of Fractions 51/880,7979/4992 is 406929/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 406929

Least Common Multiple of 51,7979 with GCF Formula

Least Common Multiple of 51,7979 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 51,7979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7979) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,7979) x common factors =1 x 1 = 1

LCM(51,7979) = ( 51 × 7979 ) / 1

LCM(51,7979) = 406929 / 1

LCM(51,7979) = 406929


Lets's calculate GCF of 880,4992

2 880, 4992
2 440, 2496
2 220, 1248
2 110, 624
55, 312

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406929/16

Therefore the LCM of Fractions 51/880,7979/4992 is 406929/16

Greatest Common Factor of 880,4992 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,4992 By Matching Biggest Common Factor Method

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

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Greatest Common Factor

We found the factors 880,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 880,4992 is 16.


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 51/880, 7979/4992

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 51/880, 7979/4992?

Answer: LCM of Numerators as per given numbers 51/880, 7979/4992 is

LCM of Numerators i.e. for 51,7979 is 406929

GCF of denominators i.e. for 880,4992 is 16.

Thus, LCM of Fractions is 406929/16.Finally, LCM of Fractions for 51/880, 7979/4992 is 406929/16.