Least Common Multiple of 428/43, 153/72, 624/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/43, 153/72, 624/745 quickly i.e. 3405168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/43, 153/72, 624/745 is 3405168.

LCM(428/43, 153/72, 624/745) = 3405168

LCM of 428/43, 153/72, 624/745

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 428/43,153/72,624/745

Given numbers are 428/43,153/72,624/745

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 428,153,624

Least Common Multiple of Numerators i.e. LCM of 428,153,624 is 3405168.

GCF of Denominators means GCF of 43,72,745 as per the given fractions.

GCF of 43,72,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,153,624

LCM of Fractions 428/43,153/72,624/745 is 3405168

2 428, 153, 624
2 214, 153, 312
3 107, 153, 156
107, 51, 52

∴ So the LCM of the given numbers is 2 x 2 x 3 x 107 x 51 x 52 = 3405168

Least Common Multiple of 428,153,624 with GCF Formula

Least Common Multiple of 428,153,624 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 428,153,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,153,624) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(428,153,624) x common factors =1 x 12 = 12

LCM(428,153,624) = ( 428 × 153 × 624 ) / 12

LCM(428,153,624) = 40862016 / 12

LCM(428,153,624) = 3405168


Lets's calculate GCF of 43,72,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3405168/1

Therefore the LCM of Fractions 428/43,153/72,624/745 is 3405168

Greatest Common Factor of 43,72,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,72,745 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 43,72,745 . The biggest common factor number is the GCF number.
So the greatest common factor 43,72,745 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 428/43, 153/72, 624/745

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 428/43, 153/72, 624/745?

Answer: LCM of Numerators as per given numbers 428/43, 153/72, 624/745 is

LCM of Numerators i.e. for 428,153,624 is 3405168

GCF of denominators i.e. for 43,72,745 is 1.

Thus, LCM of Fractions is 3405168.Finally, LCM of Fractions for 428/43, 153/72, 624/745 is 3405168.