Least Common Multiple of 95/564, 113/548, 200/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/564, 113/548, 200/400 quickly i.e. 107350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/564, 113/548, 200/400 is 107350.

LCM(95/564, 113/548, 200/400) = 107350

LCM of 95/564, 113/548, 200/400

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 95/564,113/548,200/400

Given numbers are 95/564,113/548,200/400

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 95,113,200

Least Common Multiple of Numerators i.e. LCM of 95,113,200 is 429400.

GCF of Denominators means GCF of 564,548,400 as per the given fractions.

GCF of 564,548,400 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,113,200

LCM of Fractions 95/564,113/548,200/400 is 107350

5 95, 113, 200
19, 113, 40

∴ So the LCM of the given numbers is 5 x 19 x 113 x 40 = 429400

Least Common Multiple of 95,113,200 with GCF Formula

Least Common Multiple of 95,113,200 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 95,113,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,113,200) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,113,200) x common factors =1 x 5 = 5

LCM(95,113,200) = ( 95 × 113 × 200 ) / 5

LCM(95,113,200) = 2147000 / 5

LCM(95,113,200) = 429400


Lets's calculate GCF of 564,548,400

2 564, 548, 400
2 282, 274, 200
141, 137, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429400/4

Therefore the LCM of Fractions 95/564,113/548,200/400 is 107350

Greatest Common Factor of 564,548,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,548,400 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 564,548,400 . The biggest common factor number is the GCF number.
So the greatest common factor 564,548,400 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 95/564, 113/548, 200/400

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 95/564, 113/548, 200/400?

Answer: LCM of Numerators as per given numbers 95/564, 113/548, 200/400 is

LCM of Numerators i.e. for 95,113,200 is 429400

GCF of denominators i.e. for 564,548,400 is 4.

Thus, LCM of Fractions is 107350.Finally, LCM of Fractions for 95/564, 113/548, 200/400 is 107350.