Least Common Multiple of 400/34, 556/6567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/34, 556/6567 quickly i.e. 55600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/34, 556/6567 is 55600.

LCM(400/34, 556/6567) = 55600

LCM of 400/34, 556/6567

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 400/34,556/6567

Given numbers are 400/34,556/6567

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 400,556

Least Common Multiple of Numerators i.e. LCM of 400,556 is 55600.

GCF of Denominators means GCF of 34,6567 as per the given fractions.

GCF of 34,6567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,556

LCM of Fractions 400/34,556/6567 is 55600

2 400, 556
2 200, 278
100, 139

∴ So the LCM of the given numbers is 2 x 2 x 100 x 139 = 55600

Least Common Multiple of 400,556 with GCF Formula

Least Common Multiple of 400,556 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 400,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,556) = 4

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

GCF(400,556) x common factors =4 x 1 = 4

LCM(400,556) = ( 400 × 556 ) / 4

LCM(400,556) = 222400 / 4

LCM(400,556) = 55600


Lets's calculate GCF of 34,6567

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55600/1

Therefore the LCM of Fractions 400/34,556/6567 is 55600

Greatest Common Factor of 34,6567 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,6567 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 6567

List of positive integer factors of 6567 that divides 6567 without a remainder.

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 34,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 34,6567 is 1.


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 400/34, 556/6567

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 400/34, 556/6567?

Answer: LCM of Numerators as per given numbers 400/34, 556/6567 is

LCM of Numerators i.e. for 400,556 is 55600

GCF of denominators i.e. for 34,6567 is 1.

Thus, LCM of Fractions is 55600.Finally, LCM of Fractions for 400/34, 556/6567 is 55600.