Least Common Multiple of 114/40, 200/90, 100/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/40, 200/90, 100/764 quickly i.e. 5700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/40, 200/90, 100/764 is 5700.

LCM(114/40, 200/90, 100/764) = 5700

LCM of 114/40, 200/90, 100/764

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 114/40,200/90,100/764

Given numbers are 114/40,200/90,100/764

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 114,200,100

Least Common Multiple of Numerators i.e. LCM of 114,200,100 is 11400.

GCF of Denominators means GCF of 40,90,764 as per the given fractions.

GCF of 40,90,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,200,100

LCM of Fractions 114/40,200/90,100/764 is 5700

2 114, 200, 100
2 57, 100, 50
5 57, 25, 50
5 57, 5, 10
57, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 57 x 1 x 2 = 11400

Least Common Multiple of 114,200,100 with GCF Formula

Least Common Multiple of 114,200,100 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 114,200,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,200,100) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(114,200,100) x common factors =2 x 100 = 200

LCM(114,200,100) = ( 114 × 200 × 100 ) / 200

LCM(114,200,100) = 2280000 / 200

LCM(114,200,100) = 11400


Lets's calculate GCF of 40,90,764

2 40, 90, 764
20, 45, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11400/2

Therefore the LCM of Fractions 114/40,200/90,100/764 is 5700

Greatest Common Factor of 40,90,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,90,764 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 40,90,764 . The biggest common factor number is the GCF number.
So the greatest common factor 40,90,764 is 2.


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 114/40, 200/90, 100/764

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 114/40, 200/90, 100/764?

Answer: LCM of Numerators as per given numbers 114/40, 200/90, 100/764 is

LCM of Numerators i.e. for 114,200,100 is 11400

GCF of denominators i.e. for 40,90,764 is 2.

Thus, LCM of Fractions is 5700.Finally, LCM of Fractions for 114/40, 200/90, 100/764 is 5700.