Least Common Multiple of 24/98, 51/76, 94/45, 86/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/98, 51/76, 94/45, 86/932 quickly i.e. 824568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/98, 51/76, 94/45, 86/932 is 824568.

LCM(24/98, 51/76, 94/45, 86/932) = 824568

LCM of 24/98, 51/76, 94/45, 86/932

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 24/98,51/76,94/45,86/932

Given numbers are 24/98,51/76,94/45,86/932

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 24,51,94,86

Least Common Multiple of Numerators i.e. LCM of 24,51,94,86 is 824568.

GCF of Denominators means GCF of 98,76,45,932 as per the given fractions.

GCF of 98,76,45,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,51,94,86

LCM of Fractions 24/98,51/76,94/45,86/932 is 824568

2 24, 51, 94, 86
3 12, 51, 47, 43
4, 17, 47, 43

∴ So the LCM of the given numbers is 2 x 3 x 4 x 17 x 47 x 43 = 824568

Least Common Multiple of 24,51,94,86 with GCF Formula

Least Common Multiple of 24,51,94,86 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 24,51,94,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,51,94,86) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,51,94,86) x common factors =1 x 12 = 12

LCM(24,51,94,86) = ( 24 × 51 × 94 × 86 ) / 12

LCM(24,51,94,86) = 9894816 / 12

LCM(24,51,94,86) = 824568


Lets's calculate GCF of 98,76,45,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824568/1

Therefore the LCM of Fractions 24/98,51/76,94/45,86/932 is 824568

Greatest Common Factor of 98,76,45,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,76,45,932 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 98,76,45,932 . The biggest common factor number is the GCF number.
So the greatest common factor 98,76,45,932 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 24/98, 51/76, 94/45, 86/932

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 24/98, 51/76, 94/45, 86/932?

Answer: LCM of Numerators as per given numbers 24/98, 51/76, 94/45, 86/932 is

LCM of Numerators i.e. for 24,51,94,86 is 824568

GCF of denominators i.e. for 98,76,45,932 is 1.

Thus, LCM of Fractions is 824568.Finally, LCM of Fractions for 24/98, 51/76, 94/45, 86/932 is 824568.