Least Common Multiple of 64/114, 74/631, 840/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/114, 74/631, 840/627 quickly i.e. 248640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/114, 74/631, 840/627 is 248640.

LCM(64/114, 74/631, 840/627) = 248640

LCM of 64/114, 74/631, 840/627

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 64/114,74/631,840/627

Given numbers are 64/114,74/631,840/627

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 64,74,840

Least Common Multiple of Numerators i.e. LCM of 64,74,840 is 248640.

GCF of Denominators means GCF of 114,631,627 as per the given fractions.

GCF of 114,631,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,74,840

LCM of Fractions 64/114,74/631,840/627 is 248640

2 64, 74, 840
2 32, 37, 420
2 16, 37, 210
8, 37, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 37 x 105 = 248640

Least Common Multiple of 64,74,840 with GCF Formula

Least Common Multiple of 64,74,840 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 64,74,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,74,840) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(64,74,840) x common factors =2 x 8 = 16

LCM(64,74,840) = ( 64 × 74 × 840 ) / 16

LCM(64,74,840) = 3978240 / 16

LCM(64,74,840) = 248640


Lets's calculate GCF of 114,631,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248640/1

Therefore the LCM of Fractions 64/114,74/631,840/627 is 248640

Greatest Common Factor of 114,631,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,631,627 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 114,631,627 . The biggest common factor number is the GCF number.
So the greatest common factor 114,631,627 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 64/114, 74/631, 840/627

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 64/114, 74/631, 840/627?

Answer: LCM of Numerators as per given numbers 64/114, 74/631, 840/627 is

LCM of Numerators i.e. for 64,74,840 is 248640

GCF of denominators i.e. for 114,631,627 is 1.

Thus, LCM of Fractions is 248640.Finally, LCM of Fractions for 64/114, 74/631, 840/627 is 248640.