Least Common Multiple of 48/462, 482/642, 376/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/462, 482/642, 376/277 quickly i.e. 543696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/462, 482/642, 376/277 is 543696.

LCM(48/462, 482/642, 376/277) = 543696

LCM of 48/462, 482/642, 376/277

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 48/462,482/642,376/277

Given numbers are 48/462,482/642,376/277

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 48,482,376

Least Common Multiple of Numerators i.e. LCM of 48,482,376 is 543696.

GCF of Denominators means GCF of 462,642,277 as per the given fractions.

GCF of 462,642,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,482,376

LCM of Fractions 48/462,482/642,376/277 is 543696

2 48, 482, 376
2 24, 241, 188
2 12, 241, 94
6, 241, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 241 x 47 = 543696

Least Common Multiple of 48,482,376 with GCF Formula

Least Common Multiple of 48,482,376 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 48,482,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,482,376) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(48,482,376) x common factors =2 x 8 = 16

LCM(48,482,376) = ( 48 × 482 × 376 ) / 16

LCM(48,482,376) = 8699136 / 16

LCM(48,482,376) = 543696


Lets's calculate GCF of 462,642,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543696/1

Therefore the LCM of Fractions 48/462,482/642,376/277 is 543696

Greatest Common Factor of 462,642,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,642,277 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

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 462,642,277 . The biggest common factor number is the GCF number.
So the greatest common factor 462,642,277 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 48/462, 482/642, 376/277

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 48/462, 482/642, 376/277?

Answer: LCM of Numerators as per given numbers 48/462, 482/642, 376/277 is

LCM of Numerators i.e. for 48,482,376 is 543696

GCF of denominators i.e. for 462,642,277 is 1.

Thus, LCM of Fractions is 543696.Finally, LCM of Fractions for 48/462, 482/642, 376/277 is 543696.