Least Common Multiple of 7854/486, 1473/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7854/486, 1473/442 quickly i.e. 1928157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7854/486, 1473/442 is 1928157.

LCM(7854/486, 1473/442) = 1928157

LCM of 7854/486, 1473/442

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 7854/486,1473/442

Given numbers are 7854/486,1473/442

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 7854,1473

Least Common Multiple of Numerators i.e. LCM of 7854,1473 is 3856314.

GCF of Denominators means GCF of 486,442 as per the given fractions.

GCF of 486,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7854,1473

LCM of Fractions 7854/486,1473/442 is 1928157

3 7854, 1473
2618, 491

∴ So the LCM of the given numbers is 3 x 2618 x 491 = 3856314

Least Common Multiple of 7854,1473 with GCF Formula

Least Common Multiple of 7854,1473 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 7854,1473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7854,1473) = 3

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

GCF(7854,1473) x common factors =3 x 1 = 3

LCM(7854,1473) = ( 7854 × 1473 ) / 3

LCM(7854,1473) = 11568942 / 3

LCM(7854,1473) = 3856314


Lets's calculate GCF of 486,442

2 486, 442
243, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3856314/2

Therefore the LCM of Fractions 7854/486,1473/442 is 1928157

Greatest Common Factor of 486,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,442 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 486,442 . The biggest common factor number is the GCF number.
So the greatest common factor 486,442 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7854/486, 1473/442

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 7854/486, 1473/442?

Answer: LCM of Numerators as per given numbers 7854/486, 1473/442 is

LCM of Numerators i.e. for 7854,1473 is 3856314

GCF of denominators i.e. for 486,442 is 2.

Thus, LCM of Fractions is 1928157.Finally, LCM of Fractions for 7854/486, 1473/442 is 1928157.