Least Common Multiple of 378/894, 2776/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/894, 2776/948 quickly i.e. 87444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/894, 2776/948 is 87444.

LCM(378/894, 2776/948) = 87444

LCM of 378/894, 2776/948

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 378/894,2776/948

Given numbers are 378/894,2776/948

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 378,2776

Least Common Multiple of Numerators i.e. LCM of 378,2776 is 524664.

GCF of Denominators means GCF of 894,948 as per the given fractions.

GCF of 894,948 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,2776

LCM of Fractions 378/894,2776/948 is 87444

2 378, 2776
189, 1388

∴ So the LCM of the given numbers is 2 x 189 x 1388 = 524664

Least Common Multiple of 378,2776 with GCF Formula

Least Common Multiple of 378,2776 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 378,2776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,2776) = 2

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

GCF(378,2776) x common factors =2 x 1 = 2

LCM(378,2776) = ( 378 × 2776 ) / 2

LCM(378,2776) = 1049328 / 2

LCM(378,2776) = 524664


Lets's calculate GCF of 894,948

2 894, 948
3 447, 474
149, 158

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524664/6

Therefore the LCM of Fractions 378/894,2776/948 is 87444

Greatest Common Factor of 894,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,948 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 894,948 . The biggest common factor number is the GCF number.
So the greatest common factor 894,948 is 6.


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 378/894, 2776/948

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 378/894, 2776/948?

Answer: LCM of Numerators as per given numbers 378/894, 2776/948 is

LCM of Numerators i.e. for 378,2776 is 524664

GCF of denominators i.e. for 894,948 is 6.

Thus, LCM of Fractions is 87444.Finally, LCM of Fractions for 378/894, 2776/948 is 87444.