Least Common Multiple of 56/248, 15/868, 946/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/248, 15/868, 946/855 quickly i.e. 397320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/248, 15/868, 946/855 is 397320.

LCM(56/248, 15/868, 946/855) = 397320

LCM of 56/248, 15/868, 946/855

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 56/248,15/868,946/855

Given numbers are 56/248,15/868,946/855

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 56,15,946

Least Common Multiple of Numerators i.e. LCM of 56,15,946 is 397320.

GCF of Denominators means GCF of 248,868,855 as per the given fractions.

GCF of 248,868,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,15,946

LCM of Fractions 56/248,15/868,946/855 is 397320

2 56, 15, 946
28, 15, 473

∴ So the LCM of the given numbers is 2 x 28 x 15 x 473 = 397320

Least Common Multiple of 56,15,946 with GCF Formula

Least Common Multiple of 56,15,946 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 56,15,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,15,946) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,15,946) x common factors =1 x 2 = 2

LCM(56,15,946) = ( 56 × 15 × 946 ) / 2

LCM(56,15,946) = 794640 / 2

LCM(56,15,946) = 397320


Lets's calculate GCF of 248,868,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397320/1

Therefore the LCM of Fractions 56/248,15/868,946/855 is 397320

Greatest Common Factor of 248,868,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,868,855 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 248,868,855 . The biggest common factor number is the GCF number.
So the greatest common factor 248,868,855 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 56/248, 15/868, 946/855

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 56/248, 15/868, 946/855?

Answer: LCM of Numerators as per given numbers 56/248, 15/868, 946/855 is

LCM of Numerators i.e. for 56,15,946 is 397320

GCF of denominators i.e. for 248,868,855 is 1.

Thus, LCM of Fractions is 397320.Finally, LCM of Fractions for 56/248, 15/868, 946/855 is 397320.