Least Common Multiple of 952/112, 767/955, 378/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 952/112, 767/955, 378/954 quickly i.e. 19714968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/112, 767/955, 378/954 is 19714968.

LCM(952/112, 767/955, 378/954) = 19714968

LCM of 952/112, 767/955, 378/954

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 952/112,767/955,378/954

Given numbers are 952/112,767/955,378/954

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 952,767,378

Least Common Multiple of Numerators i.e. LCM of 952,767,378 is 19714968.

GCF of Denominators means GCF of 112,955,954 as per the given fractions.

GCF of 112,955,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,767,378

LCM of Fractions 952/112,767/955,378/954 is 19714968

2 952, 767, 378
7 476, 767, 189
68, 767, 27

∴ So the LCM of the given numbers is 2 x 7 x 68 x 767 x 27 = 19714968

Least Common Multiple of 952,767,378 with GCF Formula

Least Common Multiple of 952,767,378 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 952,767,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,767,378) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(952,767,378) x common factors =1 x 14 = 14

LCM(952,767,378) = ( 952 × 767 × 378 ) / 14

LCM(952,767,378) = 276009552 / 14

LCM(952,767,378) = 19714968


Lets's calculate GCF of 112,955,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19714968/1

Therefore the LCM of Fractions 952/112,767/955,378/954 is 19714968

Greatest Common Factor of 112,955,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,955,954 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 112,955,954 . The biggest common factor number is the GCF number.
So the greatest common factor 112,955,954 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 952/112, 767/955, 378/954

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 952/112, 767/955, 378/954?

Answer: LCM of Numerators as per given numbers 952/112, 767/955, 378/954 is

LCM of Numerators i.e. for 952,767,378 is 19714968

GCF of denominators i.e. for 112,955,954 is 1.

Thus, LCM of Fractions is 19714968.Finally, LCM of Fractions for 952/112, 767/955, 378/954 is 19714968.