Least Common Multiple of 744/74, 4239/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 744/74, 4239/126 quickly i.e. 525636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/74, 4239/126 is 525636.

LCM(744/74, 4239/126) = 525636

LCM of 744/74, 4239/126

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 744/74,4239/126

Given numbers are 744/74,4239/126

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 744,4239

Least Common Multiple of Numerators i.e. LCM of 744,4239 is 1051272.

GCF of Denominators means GCF of 74,126 as per the given fractions.

GCF of 74,126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,4239

LCM of Fractions 744/74,4239/126 is 525636

3 744, 4239
248, 1413

∴ So the LCM of the given numbers is 3 x 248 x 1413 = 1051272

Least Common Multiple of 744,4239 with GCF Formula

Least Common Multiple of 744,4239 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 744,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,4239) = 3

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

GCF(744,4239) x common factors =3 x 1 = 3

LCM(744,4239) = ( 744 × 4239 ) / 3

LCM(744,4239) = 3153816 / 3

LCM(744,4239) = 1051272


Lets's calculate GCF of 74,126

2 74, 126
37, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1051272/2

Therefore the LCM of Fractions 744/74,4239/126 is 525636

Greatest Common Factor of 74,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,126 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 74,126 . The biggest common factor number is the GCF number.
So the greatest common factor 74,126 is 2.


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Frequently Asked Questions on Fractional LCM of 744/74, 4239/126

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 744/74, 4239/126?

Answer: LCM of Numerators as per given numbers 744/74, 4239/126 is

LCM of Numerators i.e. for 744,4239 is 1051272

GCF of denominators i.e. for 74,126 is 2.

Thus, LCM of Fractions is 525636.Finally, LCM of Fractions for 744/74, 4239/126 is 525636.