Least Common Multiple of 662/57, 246/35, 282/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 662/57, 246/35, 282/679 quickly i.e. 3827022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 662/57, 246/35, 282/679 is 3827022.

LCM(662/57, 246/35, 282/679) = 3827022

LCM of 662/57, 246/35, 282/679

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 662/57,246/35,282/679

Given numbers are 662/57,246/35,282/679

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 662,246,282

Least Common Multiple of Numerators i.e. LCM of 662,246,282 is 3827022.

GCF of Denominators means GCF of 57,35,679 as per the given fractions.

GCF of 57,35,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 662,246,282

LCM of Fractions 662/57,246/35,282/679 is 3827022

2 662, 246, 282
3 331, 123, 141
331, 41, 47

∴ So the LCM of the given numbers is 2 x 3 x 331 x 41 x 47 = 3827022

Least Common Multiple of 662,246,282 with GCF Formula

Least Common Multiple of 662,246,282 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 662,246,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,246,282) = 2

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

GCF(662,246,282) x common factors =2 x 6 = 12

LCM(662,246,282) = ( 662 × 246 × 282 ) / 12

LCM(662,246,282) = 45924264 / 12

LCM(662,246,282) = 3827022


Lets's calculate GCF of 57,35,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3827022/1

Therefore the LCM of Fractions 662/57,246/35,282/679 is 3827022

Greatest Common Factor of 57,35,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,35,679 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 57,35,679 . The biggest common factor number is the GCF number.
So the greatest common factor 57,35,679 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 662/57, 246/35, 282/679

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 662/57, 246/35, 282/679?

Answer: LCM of Numerators as per given numbers 662/57, 246/35, 282/679 is

LCM of Numerators i.e. for 662,246,282 is 3827022

GCF of denominators i.e. for 57,35,679 is 1.

Thus, LCM of Fractions is 3827022.Finally, LCM of Fractions for 662/57, 246/35, 282/679 is 3827022.