Least Common Multiple of 976/88, 259/4960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/88, 259/4960 quickly i.e. 31598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/88, 259/4960 is 31598.

LCM(976/88, 259/4960) = 31598

LCM of 976/88, 259/4960

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 976/88,259/4960

Given numbers are 976/88,259/4960

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 976,259

Least Common Multiple of Numerators i.e. LCM of 976,259 is 252784.

GCF of Denominators means GCF of 88,4960 as per the given fractions.

GCF of 88,4960 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,259

LCM of Fractions 976/88,259/4960 is 31598

Given numbers has no common factors except 1. So, there LCM is their product i.e 252784

Least Common Multiple of 976,259 with GCF Formula

Least Common Multiple of 976,259 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 976,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,259) = 1

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

GCF(976,259) x common factors =1 x 1 = 1

LCM(976,259) = ( 976 × 259 ) / 1

LCM(976,259) = 252784 / 1

LCM(976,259) = 252784


Lets's calculate GCF of 88,4960

2 88, 4960
2 44, 2480
2 22, 1240
11, 620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252784/8

Therefore the LCM of Fractions 976/88,259/4960 is 31598

Greatest Common Factor of 88,4960 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,4960 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Greatest Common Factor

We found the factors 88,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 88,4960 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 976/88, 259/4960

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 976/88, 259/4960?

Answer: LCM of Numerators as per given numbers 976/88, 259/4960 is

LCM of Numerators i.e. for 976,259 is 252784

GCF of denominators i.e. for 88,4960 is 8.

Thus, LCM of Fractions is 31598.Finally, LCM of Fractions for 976/88, 259/4960 is 31598.