Least Common Multiple of 96/736, 385/20, 502/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/736, 385/20, 502/984 quickly i.e. 2319240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/736, 385/20, 502/984 is 2319240.

LCM(96/736, 385/20, 502/984) = 2319240

LCM of 96/736, 385/20, 502/984

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 96/736,385/20,502/984

Given numbers are 96/736,385/20,502/984

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 96,385,502

Least Common Multiple of Numerators i.e. LCM of 96,385,502 is 9276960.

GCF of Denominators means GCF of 736,20,984 as per the given fractions.

GCF of 736,20,984 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,385,502

LCM of Fractions 96/736,385/20,502/984 is 2319240

2 96, 385, 502
48, 385, 251

∴ So the LCM of the given numbers is 2 x 48 x 385 x 251 = 9276960

Least Common Multiple of 96,385,502 with GCF Formula

Least Common Multiple of 96,385,502 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 96,385,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,385,502) = 1

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

GCF(96,385,502) x common factors =1 x 2 = 2

LCM(96,385,502) = ( 96 × 385 × 502 ) / 2

LCM(96,385,502) = 18553920 / 2

LCM(96,385,502) = 9276960


Lets's calculate GCF of 736,20,984

2 736, 20, 984
2 368, 10, 492
184, 5, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9276960/4

Therefore the LCM of Fractions 96/736,385/20,502/984 is 2319240

Greatest Common Factor of 736,20,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,20,984 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 736,20,984 . The biggest common factor number is the GCF number.
So the greatest common factor 736,20,984 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 96/736, 385/20, 502/984

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 96/736, 385/20, 502/984?

Answer: LCM of Numerators as per given numbers 96/736, 385/20, 502/984 is

LCM of Numerators i.e. for 96,385,502 is 9276960

GCF of denominators i.e. for 736,20,984 is 4.

Thus, LCM of Fractions is 2319240.Finally, LCM of Fractions for 96/736, 385/20, 502/984 is 2319240.