Least Common Multiple of 74/43, 62/44, 120/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/43, 62/44, 120/628 quickly i.e. 137640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/43, 62/44, 120/628 is 137640.

LCM(74/43, 62/44, 120/628) = 137640

LCM of 74/43, 62/44, 120/628

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 74/43,62/44,120/628

Given numbers are 74/43,62/44,120/628

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 74,62,120

Least Common Multiple of Numerators i.e. LCM of 74,62,120 is 137640.

GCF of Denominators means GCF of 43,44,628 as per the given fractions.

GCF of 43,44,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,62,120

LCM of Fractions 74/43,62/44,120/628 is 137640

2 74, 62, 120
37, 31, 60

∴ So the LCM of the given numbers is 2 x 37 x 31 x 60 = 137640

Least Common Multiple of 74,62,120 with GCF Formula

Least Common Multiple of 74,62,120 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 74,62,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,62,120) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,62,120) x common factors =2 x 2 = 4

LCM(74,62,120) = ( 74 × 62 × 120 ) / 4

LCM(74,62,120) = 550560 / 4

LCM(74,62,120) = 137640


Lets's calculate GCF of 43,44,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137640/1

Therefore the LCM of Fractions 74/43,62/44,120/628 is 137640

Greatest Common Factor of 43,44,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,44,628 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 43,44,628 . The biggest common factor number is the GCF number.
So the greatest common factor 43,44,628 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 74/43, 62/44, 120/628

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 74/43, 62/44, 120/628?

Answer: LCM of Numerators as per given numbers 74/43, 62/44, 120/628 is

LCM of Numerators i.e. for 74,62,120 is 137640

GCF of denominators i.e. for 43,44,628 is 1.

Thus, LCM of Fractions is 137640.Finally, LCM of Fractions for 74/43, 62/44, 120/628 is 137640.