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Least Common Multiple of 6/572, 31/705, 96/629

Know Least Common Multiple of fractions 6/572, 31/705, 96/629 quickly i.e. 2976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/572, 31/705, 96/629 is 2976.

LCM(6/572, 31/705, 96/629) = 2976

LCM of 6/572, 31/705, 96/629

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 6/572,31/705,96/629

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 6,31,96

Least Common Multiple of Numerators i.e. LCM of 6,31,96 is 2976.

GCF of Denominators means GCF of 572,705,629 as per the given fractions.

GCF of 572,705,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,31,96

Least Common Multiple (LCM) of 6,31,96 By Common Division

2 6, 31, 96
3 3, 31, 48
1, 31, 16

∴ So the LCM of the given numbers is 2 x 3 x 1 x 31 x 16 = 2976

Least Common Multiple of 6,31,96 with GCF Formula

Least Common Multiple of 6,31,96 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 6,31,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,31,96) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,31,96) x common factors =1 x 6 = 6

LCM(6,31,96) = ( 6 × 31 × 96 ) / 6

LCM(6,31,96) = 17856 / 6

LCM(6,31,96) = 2976


Lets's calculate GCF of 572,705,629

Greatest Common Factor (GCF) of 572,705,629 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2976/1

Therefore the LCM of Fractions 6/572,31/705,96/629 is 2976

Greatest Common Factor of 572,705,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,705,629 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 572,705,629 . The biggest common factor number is the GCF number.
So the greatest common factor 572,705,629 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6/572, 31/705, 96/629

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 6/572, 31/705, 96/629?

Answer: LCM of Numerators as per given numbers 6/572, 31/705, 96/629 is

LCM of Numerators i.e. for 6,31,96 is 2976

GCF of denominators i.e. for 572,705,629 is 1.

Thus, LCM of Fractions is 2976.Finally, LCM of Fractions for 6/572, 31/705, 96/629 is 2976.