Least Common Multiple of 638/782, 142/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 638/782, 142/794 quickly i.e. 22649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/782, 142/794 is 22649.

LCM(638/782, 142/794) = 22649

LCM of 638/782, 142/794

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 638/782,142/794

Given numbers are 638/782,142/794

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 638,142

Least Common Multiple of Numerators i.e. LCM of 638,142 is 45298.

GCF of Denominators means GCF of 782,794 as per the given fractions.

GCF of 782,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,142

LCM of Fractions 638/782,142/794 is 22649

2 638, 142
319, 71

∴ So the LCM of the given numbers is 2 x 319 x 71 = 45298

Least Common Multiple of 638,142 with GCF Formula

Least Common Multiple of 638,142 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 638,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,142) = 2

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

GCF(638,142) x common factors =2 x 1 = 2

LCM(638,142) = ( 638 × 142 ) / 2

LCM(638,142) = 90596 / 2

LCM(638,142) = 45298


Lets's calculate GCF of 782,794

2 782, 794
391, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45298/2

Therefore the LCM of Fractions 638/782,142/794 is 22649

Greatest Common Factor of 782,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,794 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 782,794 . The biggest common factor number is the GCF number.
So the greatest common factor 782,794 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 638/782, 142/794

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 638/782, 142/794?

Answer: LCM of Numerators as per given numbers 638/782, 142/794 is

LCM of Numerators i.e. for 638,142 is 45298

GCF of denominators i.e. for 782,794 is 2.

Thus, LCM of Fractions is 22649.Finally, LCM of Fractions for 638/782, 142/794 is 22649.