Least Common Multiple of 571/630, 125/638, 413/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 571/630, 125/638, 413/602 quickly i.e. 29477875/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/630, 125/638, 413/602 is 29477875/2.

LCM(571/630, 125/638, 413/602) = 29477875/2

LCM of 571/630, 125/638, 413/602

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 571/630,125/638,413/602

Given numbers are 571/630,125/638,413/602

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 571,125,413

Least Common Multiple of Numerators i.e. LCM of 571,125,413 is 29477875.

GCF of Denominators means GCF of 630,638,602 as per the given fractions.

GCF of 630,638,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,125,413

LCM of Fractions 571/630,125/638,413/602 is 29477875/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 29477875

Least Common Multiple of 571,125,413 with GCF Formula

Least Common Multiple of 571,125,413 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 571,125,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,125,413) = 1

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

GCF(571,125,413) x common factors =1 x 1 = 1

LCM(571,125,413) = ( 571 × 125 × 413 ) / 1

LCM(571,125,413) = 29477875 / 1

LCM(571,125,413) = 29477875


Lets's calculate GCF of 630,638,602

2 630, 638, 602
315, 319, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29477875/2

Therefore the LCM of Fractions 571/630,125/638,413/602 is 29477875/2

Greatest Common Factor of 630,638,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,638,602 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 630,638,602 . The biggest common factor number is the GCF number.
So the greatest common factor 630,638,602 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 571/630, 125/638, 413/602

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 571/630, 125/638, 413/602?

Answer: LCM of Numerators as per given numbers 571/630, 125/638, 413/602 is

LCM of Numerators i.e. for 571,125,413 is 29477875

GCF of denominators i.e. for 630,638,602 is 2.

Thus, LCM of Fractions is 29477875/2.Finally, LCM of Fractions for 571/630, 125/638, 413/602 is 29477875/2.