Least Common Multiple of 404/292, 8970/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/292, 8970/624 quickly i.e. 452985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/292, 8970/624 is 452985.

LCM(404/292, 8970/624) = 452985

LCM of 404/292, 8970/624

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 404/292,8970/624

Given numbers are 404/292,8970/624

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 404,8970

Least Common Multiple of Numerators i.e. LCM of 404,8970 is 1811940.

GCF of Denominators means GCF of 292,624 as per the given fractions.

GCF of 292,624 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,8970

LCM of Fractions 404/292,8970/624 is 452985

2 404, 8970
202, 4485

∴ So the LCM of the given numbers is 2 x 202 x 4485 = 1811940

Least Common Multiple of 404,8970 with GCF Formula

Least Common Multiple of 404,8970 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 404,8970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,8970) = 2

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

GCF(404,8970) x common factors =2 x 1 = 2

LCM(404,8970) = ( 404 × 8970 ) / 2

LCM(404,8970) = 3623880 / 2

LCM(404,8970) = 1811940


Lets's calculate GCF of 292,624

2 292, 624
2 146, 312
73, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1811940/4

Therefore the LCM of Fractions 404/292,8970/624 is 452985

Greatest Common Factor of 292,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,624 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

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 292,624 . The biggest common factor number is the GCF number.
So the greatest common factor 292,624 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 404/292, 8970/624

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 404/292, 8970/624?

Answer: LCM of Numerators as per given numbers 404/292, 8970/624 is

LCM of Numerators i.e. for 404,8970 is 1811940

GCF of denominators i.e. for 292,624 is 4.

Thus, LCM of Fractions is 452985.Finally, LCM of Fractions for 404/292, 8970/624 is 452985.