Least Common Multiple of 292/72, 400/5216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/72, 400/5216 quickly i.e. 3650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/72, 400/5216 is 3650.

LCM(292/72, 400/5216) = 3650

LCM of 292/72, 400/5216

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 292/72,400/5216

Given numbers are 292/72,400/5216

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 292,400

Least Common Multiple of Numerators i.e. LCM of 292,400 is 29200.

GCF of Denominators means GCF of 72,5216 as per the given fractions.

GCF of 72,5216 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,400

LCM of Fractions 292/72,400/5216 is 3650

2 292, 400
2 146, 200
73, 100

∴ So the LCM of the given numbers is 2 x 2 x 73 x 100 = 29200

Least Common Multiple of 292,400 with GCF Formula

Least Common Multiple of 292,400 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 292,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,400) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(292,400) x common factors =4 x 1 = 4

LCM(292,400) = ( 292 × 400 ) / 4

LCM(292,400) = 116800 / 4

LCM(292,400) = 29200


Lets's calculate GCF of 72,5216

2 72, 5216
2 36, 2608
2 18, 1304
9, 652

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29200/8

Therefore the LCM of Fractions 292/72,400/5216 is 3650

Greatest Common Factor of 72,5216 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5216 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 5216

List of positive integer factors of 5216 that divides 5216 without a remainder.

1,2,4,8,16,32,163,326,652,1304,2608,5216

Greatest Common Factor

We found the factors 72,5216 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5216 is 8.


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 292/72, 400/5216

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 292/72, 400/5216?

Answer: LCM of Numerators as per given numbers 292/72, 400/5216 is

LCM of Numerators i.e. for 292,400 is 29200

GCF of denominators i.e. for 72,5216 is 8.

Thus, LCM of Fractions is 3650.Finally, LCM of Fractions for 292/72, 400/5216 is 3650.