Least Common Multiple of 48/778, 7486/6951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/778, 7486/6951 quickly i.e. 179664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/778, 7486/6951 is 179664.

LCM(48/778, 7486/6951) = 179664

LCM of 48/778, 7486/6951

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 48/778,7486/6951

Given numbers are 48/778,7486/6951

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 48,7486

Least Common Multiple of Numerators i.e. LCM of 48,7486 is 179664.

GCF of Denominators means GCF of 778,6951 as per the given fractions.

GCF of 778,6951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,7486

LCM of Fractions 48/778,7486/6951 is 179664

2 48, 7486
24, 3743

∴ So the LCM of the given numbers is 2 x 24 x 3743 = 179664

Least Common Multiple of 48,7486 with GCF Formula

Least Common Multiple of 48,7486 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 48,7486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,7486) = 2

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

GCF(48,7486) x common factors =2 x 1 = 2

LCM(48,7486) = ( 48 × 7486 ) / 2

LCM(48,7486) = 359328 / 2

LCM(48,7486) = 179664


Lets's calculate GCF of 778,6951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179664/1

Therefore the LCM of Fractions 48/778,7486/6951 is 179664

Greatest Common Factor of 778,6951 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,6951 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 6951

List of positive integer factors of 6951 that divides 6951 without a remainder.

1,3,7,21,331,993,2317,6951

Greatest Common Factor

We found the factors 778,6951 . The biggest common factor number is the GCF number.
So the greatest common factor 778,6951 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 48/778, 7486/6951

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 48/778, 7486/6951?

Answer: LCM of Numerators as per given numbers 48/778, 7486/6951 is

LCM of Numerators i.e. for 48,7486 is 179664

GCF of denominators i.e. for 778,6951 is 1.

Thus, LCM of Fractions is 179664.Finally, LCM of Fractions for 48/778, 7486/6951 is 179664.