Least Common Multiple of 24/982, 575/117, 688/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/982, 575/117, 688/624 quickly i.e. 1186800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/982, 575/117, 688/624 is 1186800.

LCM(24/982, 575/117, 688/624) = 1186800

LCM of 24/982, 575/117, 688/624

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 24/982,575/117,688/624

Given numbers are 24/982,575/117,688/624

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 24,575,688

Least Common Multiple of Numerators i.e. LCM of 24,575,688 is 1186800.

GCF of Denominators means GCF of 982,117,624 as per the given fractions.

GCF of 982,117,624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,575,688

LCM of Fractions 24/982,575/117,688/624 is 1186800

2 24, 575, 688
2 12, 575, 344
2 6, 575, 172
3, 575, 86

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 575 x 86 = 1186800

Least Common Multiple of 24,575,688 with GCF Formula

Least Common Multiple of 24,575,688 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 24,575,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,575,688) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(24,575,688) x common factors =1 x 8 = 8

LCM(24,575,688) = ( 24 × 575 × 688 ) / 8

LCM(24,575,688) = 9494400 / 8

LCM(24,575,688) = 1186800


Lets's calculate GCF of 982,117,624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1186800/1

Therefore the LCM of Fractions 24/982,575/117,688/624 is 1186800

Greatest Common Factor of 982,117,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,117,624 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 982,117,624 . The biggest common factor number is the GCF number.
So the greatest common factor 982,117,624 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 24/982, 575/117, 688/624

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 24/982, 575/117, 688/624?

Answer: LCM of Numerators as per given numbers 24/982, 575/117, 688/624 is

LCM of Numerators i.e. for 24,575,688 is 1186800

GCF of denominators i.e. for 982,117,624 is 1.

Thus, LCM of Fractions is 1186800.Finally, LCM of Fractions for 24/982, 575/117, 688/624 is 1186800.