Least Common Multiple of 924/52, 980/64, 679/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/52, 980/64, 679/48 quickly i.e. 784245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/52, 980/64, 679/48 is 784245.

LCM(924/52, 980/64, 679/48) = 784245

LCM of 924/52, 980/64, 679/48

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 924/52,980/64,679/48

Given numbers are 924/52,980/64,679/48

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 924,980,679

Least Common Multiple of Numerators i.e. LCM of 924,980,679 is 3136980.

GCF of Denominators means GCF of 52,64,48 as per the given fractions.

GCF of 52,64,48 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,980,679

LCM of Fractions 924/52,980/64,679/48 is 784245

2 924, 980, 679
2 462, 490, 679
7 231, 245, 679
33, 35, 97

∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 35 x 97 = 3136980

Least Common Multiple of 924,980,679 with GCF Formula

Least Common Multiple of 924,980,679 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 924,980,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,980,679) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(924,980,679) x common factors =7 x 28 = 196

LCM(924,980,679) = ( 924 × 980 × 679 ) / 196

LCM(924,980,679) = 614848080 / 196

LCM(924,980,679) = 3136980


Lets's calculate GCF of 52,64,48

2 52, 64, 48
2 26, 32, 24
13, 16, 12

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3136980/4

Therefore the LCM of Fractions 924/52,980/64,679/48 is 784245

Greatest Common Factor of 52,64,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,64,48 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 52,64,48 . The biggest common factor number is the GCF number.
So the greatest common factor 52,64,48 is 4.


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 924/52, 980/64, 679/48

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 924/52, 980/64, 679/48?

Answer: LCM of Numerators as per given numbers 924/52, 980/64, 679/48 is

LCM of Numerators i.e. for 924,980,679 is 3136980

GCF of denominators i.e. for 52,64,48 is 4.

Thus, LCM of Fractions is 784245.Finally, LCM of Fractions for 924/52, 980/64, 679/48 is 784245.