Least Common Multiple of 56/463, 92/846, 681/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/463, 92/846, 681/180 quickly i.e. 877128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/463, 92/846, 681/180 is 877128.

LCM(56/463, 92/846, 681/180) = 877128

LCM of 56/463, 92/846, 681/180

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 56/463,92/846,681/180

Given numbers are 56/463,92/846,681/180

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 56,92,681

Least Common Multiple of Numerators i.e. LCM of 56,92,681 is 877128.

GCF of Denominators means GCF of 463,846,180 as per the given fractions.

GCF of 463,846,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,92,681

LCM of Fractions 56/463,92/846,681/180 is 877128

2 56, 92, 681
2 28, 46, 681
14, 23, 681

∴ So the LCM of the given numbers is 2 x 2 x 14 x 23 x 681 = 877128

Least Common Multiple of 56,92,681 with GCF Formula

Least Common Multiple of 56,92,681 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 56,92,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,92,681) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,92,681) x common factors =1 x 4 = 4

LCM(56,92,681) = ( 56 × 92 × 681 ) / 4

LCM(56,92,681) = 3508512 / 4

LCM(56,92,681) = 877128


Lets's calculate GCF of 463,846,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 877128/1

Therefore the LCM of Fractions 56/463,92/846,681/180 is 877128

Greatest Common Factor of 463,846,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,846,180 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 463,846,180 . The biggest common factor number is the GCF number.
So the greatest common factor 463,846,180 is 1.


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 56/463, 92/846, 681/180

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 56/463, 92/846, 681/180?

Answer: LCM of Numerators as per given numbers 56/463, 92/846, 681/180 is

LCM of Numerators i.e. for 56,92,681 is 877128

GCF of denominators i.e. for 463,846,180 is 1.

Thus, LCM of Fractions is 877128.Finally, LCM of Fractions for 56/463, 92/846, 681/180 is 877128.