Least Common Multiple of 51/880, 1649/5323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/880, 1649/5323 quickly i.e. 4947 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, 1649/5323 is 4947.

LCM(51/880, 1649/5323) = 4947

LCM of 51/880, 1649/5323

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 51/880,1649/5323

Given numbers are 51/880,1649/5323

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 51,1649

Least Common Multiple of Numerators i.e. LCM of 51,1649 is 4947.

GCF of Denominators means GCF of 880,5323 as per the given fractions.

GCF of 880,5323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,1649

LCM of Fractions 51/880,1649/5323 is 4947

17 51, 1649
3, 97

∴ So the LCM of the given numbers is 17 x 3 x 97 = 4947

Least Common Multiple of 51,1649 with GCF Formula

Least Common Multiple of 51,1649 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 51,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,1649) = 17

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

GCF(51,1649) x common factors =17 x 1 = 17

LCM(51,1649) = ( 51 × 1649 ) / 17

LCM(51,1649) = 84099 / 17

LCM(51,1649) = 4947


Lets's calculate GCF of 880,5323

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4947/1

Therefore the LCM of Fractions 51/880,1649/5323 is 4947

Greatest Common Factor of 880,5323 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,5323 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 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1,5323

Greatest Common Factor

We found the factors 880,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 880,5323 is 1.


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, 1649/5323

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, 1649/5323?

Answer: LCM of Numerators as per given numbers 51/880, 1649/5323 is

LCM of Numerators i.e. for 51,1649 is 4947

GCF of denominators i.e. for 880,5323 is 1.

Thus, LCM of Fractions is 4947.Finally, LCM of Fractions for 51/880, 1649/5323 is 4947.