Least Common Multiple of 400/556, 7372/8088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/556, 7372/8088 quickly i.e. 184300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/556, 7372/8088 is 184300.

LCM(400/556, 7372/8088) = 184300

LCM of 400/556, 7372/8088

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 400/556,7372/8088

Given numbers are 400/556,7372/8088

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 400,7372

Least Common Multiple of Numerators i.e. LCM of 400,7372 is 737200.

GCF of Denominators means GCF of 556,8088 as per the given fractions.

GCF of 556,8088 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,7372

LCM of Fractions 400/556,7372/8088 is 184300

2 400, 7372
2 200, 3686
100, 1843

∴ So the LCM of the given numbers is 2 x 2 x 100 x 1843 = 737200

Least Common Multiple of 400,7372 with GCF Formula

Least Common Multiple of 400,7372 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 400,7372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,7372) = 4

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

GCF(400,7372) x common factors =4 x 1 = 4

LCM(400,7372) = ( 400 × 7372 ) / 4

LCM(400,7372) = 2948800 / 4

LCM(400,7372) = 737200


Lets's calculate GCF of 556,8088

2 556, 8088
2 278, 4044
139, 2022

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737200/4

Therefore the LCM of Fractions 400/556,7372/8088 is 184300

Greatest Common Factor of 556,8088 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,8088 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088

Greatest Common Factor

We found the factors 556,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 556,8088 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 400/556, 7372/8088

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 400/556, 7372/8088?

Answer: LCM of Numerators as per given numbers 400/556, 7372/8088 is

LCM of Numerators i.e. for 400,7372 is 737200

GCF of denominators i.e. for 556,8088 is 4.

Thus, LCM of Fractions is 184300.Finally, LCM of Fractions for 400/556, 7372/8088 is 184300.