Least Common Multiple of 254/570, 101/584, 631/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 254/570, 101/584, 631/562 quickly i.e. 8093837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/570, 101/584, 631/562 is 8093837.

LCM(254/570, 101/584, 631/562) = 8093837

LCM of 254/570, 101/584, 631/562

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 254/570,101/584,631/562

Given numbers are 254/570,101/584,631/562

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 254,101,631

Least Common Multiple of Numerators i.e. LCM of 254,101,631 is 16187674.

GCF of Denominators means GCF of 570,584,562 as per the given fractions.

GCF of 570,584,562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,101,631

LCM of Fractions 254/570,101/584,631/562 is 8093837

Given numbers has no common factors except 1. So, there LCM is their product i.e 16187674

Least Common Multiple of 254,101,631 with GCF Formula

Least Common Multiple of 254,101,631 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 254,101,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,101,631) = 1

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

GCF(254,101,631) x common factors =1 x 1 = 1

LCM(254,101,631) = ( 254 × 101 × 631 ) / 1

LCM(254,101,631) = 16187674 / 1

LCM(254,101,631) = 16187674


Lets's calculate GCF of 570,584,562

2 570, 584, 562
285, 292, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16187674/2

Therefore the LCM of Fractions 254/570,101/584,631/562 is 8093837

Greatest Common Factor of 570,584,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,584,562 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 570,584,562 . The biggest common factor number is the GCF number.
So the greatest common factor 570,584,562 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 254/570, 101/584, 631/562

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 254/570, 101/584, 631/562?

Answer: LCM of Numerators as per given numbers 254/570, 101/584, 631/562 is

LCM of Numerators i.e. for 254,101,631 is 16187674

GCF of denominators i.e. for 570,584,562 is 2.

Thus, LCM of Fractions is 8093837.Finally, LCM of Fractions for 254/570, 101/584, 631/562 is 8093837.