Least Common Multiple of 114/40, 758/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/40, 758/664 quickly i.e. 43206/8 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, 758/664 is 43206/8.

LCM(114/40, 758/664) = 43206/8

LCM of 114/40, 758/664

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 114/40,758/664

Given numbers are 114/40,758/664

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 114,758

Least Common Multiple of Numerators i.e. LCM of 114,758 is 43206.

GCF of Denominators means GCF of 40,664 as per the given fractions.

GCF of 40,664 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,758

LCM of Fractions 114/40,758/664 is 43206/8

2 114, 758
57, 379

∴ So the LCM of the given numbers is 2 x 57 x 379 = 43206

Least Common Multiple of 114,758 with GCF Formula

Least Common Multiple of 114,758 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 114,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,758) = 2

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

GCF(114,758) x common factors =2 x 1 = 2

LCM(114,758) = ( 114 × 758 ) / 2

LCM(114,758) = 86412 / 2

LCM(114,758) = 43206


Lets's calculate GCF of 40,664

2 40, 664
2 20, 332
2 10, 166
5, 83

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43206/8

Therefore the LCM of Fractions 114/40,758/664 is 43206/8

Greatest Common Factor of 40,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,664 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 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 40,664 . The biggest common factor number is the GCF number.
So the greatest common factor 40,664 is 8.


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, 758/664

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, 758/664?

Answer: LCM of Numerators as per given numbers 114/40, 758/664 is

LCM of Numerators i.e. for 114,758 is 43206

GCF of denominators i.e. for 40,664 is 8.

Thus, LCM of Fractions is 43206/8.Finally, LCM of Fractions for 114/40, 758/664 is 43206/8.