Least Common Multiple of 48/846, 88/749, 991/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/846, 88/749, 991/314 quickly i.e. 523248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/846, 88/749, 991/314 is 523248.

LCM(48/846, 88/749, 991/314) = 523248

LCM of 48/846, 88/749, 991/314

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 48/846,88/749,991/314

Given numbers are 48/846,88/749,991/314

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 48,88,991

Least Common Multiple of Numerators i.e. LCM of 48,88,991 is 523248.

GCF of Denominators means GCF of 846,749,314 as per the given fractions.

GCF of 846,749,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,88,991

LCM of Fractions 48/846,88/749,991/314 is 523248

2 48, 88, 991
2 24, 44, 991
2 12, 22, 991
6, 11, 991

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 11 x 991 = 523248

Least Common Multiple of 48,88,991 with GCF Formula

Least Common Multiple of 48,88,991 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 48,88,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,88,991) = 1

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

GCF(48,88,991) x common factors =1 x 8 = 8

LCM(48,88,991) = ( 48 × 88 × 991 ) / 8

LCM(48,88,991) = 4185984 / 8

LCM(48,88,991) = 523248


Lets's calculate GCF of 846,749,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523248/1

Therefore the LCM of Fractions 48/846,88/749,991/314 is 523248

Greatest Common Factor of 846,749,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,749,314 By Matching Biggest Common Factor Method

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 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 846,749,314 . The biggest common factor number is the GCF number.
So the greatest common factor 846,749,314 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 48/846, 88/749, 991/314

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 48/846, 88/749, 991/314?

Answer: LCM of Numerators as per given numbers 48/846, 88/749, 991/314 is

LCM of Numerators i.e. for 48,88,991 is 523248

GCF of denominators i.e. for 846,749,314 is 1.

Thus, LCM of Fractions is 523248.Finally, LCM of Fractions for 48/846, 88/749, 991/314 is 523248.