Least Common Multiple of 59/466, 231/377, 856/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/466, 231/377, 856/277 quickly i.e. 11666424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/466, 231/377, 856/277 is 11666424.

LCM(59/466, 231/377, 856/277) = 11666424

LCM of 59/466, 231/377, 856/277

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 59/466,231/377,856/277

Given numbers are 59/466,231/377,856/277

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 59,231,856

Least Common Multiple of Numerators i.e. LCM of 59,231,856 is 11666424.

GCF of Denominators means GCF of 466,377,277 as per the given fractions.

GCF of 466,377,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,231,856

LCM of Fractions 59/466,231/377,856/277 is 11666424

Given numbers has no common factors except 1. So, there LCM is their product i.e 11666424

Least Common Multiple of 59,231,856 with GCF Formula

Least Common Multiple of 59,231,856 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 59,231,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,231,856) = 1

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

GCF(59,231,856) x common factors =1 x 1 = 1

LCM(59,231,856) = ( 59 × 231 × 856 ) / 1

LCM(59,231,856) = 11666424 / 1

LCM(59,231,856) = 11666424


Lets's calculate GCF of 466,377,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11666424/1

Therefore the LCM of Fractions 59/466,231/377,856/277 is 11666424

Greatest Common Factor of 466,377,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,377,277 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 466,377,277 . The biggest common factor number is the GCF number.
So the greatest common factor 466,377,277 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 59/466, 231/377, 856/277

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 59/466, 231/377, 856/277?

Answer: LCM of Numerators as per given numbers 59/466, 231/377, 856/277 is

LCM of Numerators i.e. for 59,231,856 is 11666424

GCF of denominators i.e. for 466,377,277 is 1.

Thus, LCM of Fractions is 11666424.Finally, LCM of Fractions for 59/466, 231/377, 856/277 is 11666424.