Least Common Multiple of 378/862, 456/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/862, 456/486 quickly i.e. 14364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/862, 456/486 is 14364.

LCM(378/862, 456/486) = 14364

LCM of 378/862, 456/486

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 378/862,456/486

Given numbers are 378/862,456/486

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 378,456

Least Common Multiple of Numerators i.e. LCM of 378,456 is 28728.

GCF of Denominators means GCF of 862,486 as per the given fractions.

GCF of 862,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,456

LCM of Fractions 378/862,456/486 is 14364

2 378, 456
3 189, 228
63, 76

∴ So the LCM of the given numbers is 2 x 3 x 63 x 76 = 28728

Least Common Multiple of 378,456 with GCF Formula

Least Common Multiple of 378,456 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 378,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,456) = 6

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

GCF(378,456) x common factors =6 x 1 = 6

LCM(378,456) = ( 378 × 456 ) / 6

LCM(378,456) = 172368 / 6

LCM(378,456) = 28728


Lets's calculate GCF of 862,486

2 862, 486
431, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28728/2

Therefore the LCM of Fractions 378/862,456/486 is 14364

Greatest Common Factor of 862,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,486 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

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

Greatest Common Factor

We found the factors 862,486 . The biggest common factor number is the GCF number.
So the greatest common factor 862,486 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 378/862, 456/486

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 378/862, 456/486?

Answer: LCM of Numerators as per given numbers 378/862, 456/486 is

LCM of Numerators i.e. for 378,456 is 28728

GCF of denominators i.e. for 862,486 is 2.

Thus, LCM of Fractions is 14364.Finally, LCM of Fractions for 378/862, 456/486 is 14364.