Least Common Multiple of 901/52, 562/71, 976/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 901/52, 562/71, 976/502 quickly i.e. 247104656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/52, 562/71, 976/502 is 247104656.

LCM(901/52, 562/71, 976/502) = 247104656

LCM of 901/52, 562/71, 976/502

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 901/52,562/71,976/502

Given numbers are 901/52,562/71,976/502

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 901,562,976

Least Common Multiple of Numerators i.e. LCM of 901,562,976 is 247104656.

GCF of Denominators means GCF of 52,71,502 as per the given fractions.

GCF of 52,71,502 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,562,976

LCM of Fractions 901/52,562/71,976/502 is 247104656

2 901, 562, 976
901, 281, 488

∴ So the LCM of the given numbers is 2 x 901 x 281 x 488 = 247104656

Least Common Multiple of 901,562,976 with GCF Formula

Least Common Multiple of 901,562,976 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 901,562,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,562,976) = 1

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

GCF(901,562,976) x common factors =1 x 2 = 2

LCM(901,562,976) = ( 901 × 562 × 976 ) / 2

LCM(901,562,976) = 494209312 / 2

LCM(901,562,976) = 247104656


Lets's calculate GCF of 52,71,502

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247104656/1

Therefore the LCM of Fractions 901/52,562/71,976/502 is 247104656

Greatest Common Factor of 52,71,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,71,502 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 52,71,502 . The biggest common factor number is the GCF number.
So the greatest common factor 52,71,502 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 901/52, 562/71, 976/502

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 901/52, 562/71, 976/502?

Answer: LCM of Numerators as per given numbers 901/52, 562/71, 976/502 is

LCM of Numerators i.e. for 901,562,976 is 247104656

GCF of denominators i.e. for 52,71,502 is 1.

Thus, LCM of Fractions is 247104656.Finally, LCM of Fractions for 901/52, 562/71, 976/502 is 247104656.