Least Common Multiple of 48/696, 279/653, 618/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/696, 279/653, 618/871 quickly i.e. 459792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/696, 279/653, 618/871 is 459792.

LCM(48/696, 279/653, 618/871) = 459792

LCM of 48/696, 279/653, 618/871

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 48/696,279/653,618/871

Given numbers are 48/696,279/653,618/871

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 48,279,618

Least Common Multiple of Numerators i.e. LCM of 48,279,618 is 459792.

GCF of Denominators means GCF of 696,653,871 as per the given fractions.

GCF of 696,653,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,279,618

LCM of Fractions 48/696,279/653,618/871 is 459792

2 48, 279, 618
3 24, 279, 309
8, 93, 103

∴ So the LCM of the given numbers is 2 x 3 x 8 x 93 x 103 = 459792

Least Common Multiple of 48,279,618 with GCF Formula

Least Common Multiple of 48,279,618 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 48,279,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,279,618) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(48,279,618) x common factors =3 x 6 = 18

LCM(48,279,618) = ( 48 × 279 × 618 ) / 18

LCM(48,279,618) = 8276256 / 18

LCM(48,279,618) = 459792


Lets's calculate GCF of 696,653,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459792/1

Therefore the LCM of Fractions 48/696,279/653,618/871 is 459792

Greatest Common Factor of 696,653,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,653,871 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 696,653,871 . The biggest common factor number is the GCF number.
So the greatest common factor 696,653,871 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 48/696, 279/653, 618/871

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 48/696, 279/653, 618/871?

Answer: LCM of Numerators as per given numbers 48/696, 279/653, 618/871 is

LCM of Numerators i.e. for 48,279,618 is 459792

GCF of denominators i.e. for 696,653,871 is 1.

Thus, LCM of Fractions is 459792.Finally, LCM of Fractions for 48/696, 279/653, 618/871 is 459792.