Least Common Multiple of 426/639, 4229/7479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 426/639, 4229/7479 quickly i.e. 1801554/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/639, 4229/7479 is 1801554/9.

LCM(426/639, 4229/7479) = 1801554/9

LCM of 426/639, 4229/7479

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 426/639,4229/7479

Given numbers are 426/639,4229/7479

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 426,4229

Least Common Multiple of Numerators i.e. LCM of 426,4229 is 1801554.

GCF of Denominators means GCF of 639,7479 as per the given fractions.

GCF of 639,7479 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,4229

LCM of Fractions 426/639,4229/7479 is 1801554/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 1801554

Least Common Multiple of 426,4229 with GCF Formula

Least Common Multiple of 426,4229 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 426,4229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,4229) = 1

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

GCF(426,4229) x common factors =1 x 1 = 1

LCM(426,4229) = ( 426 × 4229 ) / 1

LCM(426,4229) = 1801554 / 1

LCM(426,4229) = 1801554


Lets's calculate GCF of 639,7479

3 639, 7479
3 213, 2493
71, 831

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801554/9

Therefore the LCM of Fractions 426/639,4229/7479 is 1801554/9

Greatest Common Factor of 639,7479 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,7479 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Greatest Common Factor

We found the factors 639,7479 . The biggest common factor number is the GCF number.
So the greatest common factor 639,7479 is 9.


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Frequently Asked Questions on Fractional LCM of 426/639, 4229/7479

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 426/639, 4229/7479?

Answer: LCM of Numerators as per given numbers 426/639, 4229/7479 is

LCM of Numerators i.e. for 426,4229 is 1801554

GCF of denominators i.e. for 639,7479 is 9.

Thus, LCM of Fractions is 1801554/9.Finally, LCM of Fractions for 426/639, 4229/7479 is 1801554/9.