Least Common Multiple of 928/629, 954/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 928/629, 954/867 quickly i.e. 442656/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/629, 954/867 is 442656/17.

LCM(928/629, 954/867) = 442656/17

LCM of 928/629, 954/867

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 928/629,954/867

Given numbers are 928/629,954/867

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 928,954

Least Common Multiple of Numerators i.e. LCM of 928,954 is 442656.

GCF of Denominators means GCF of 629,867 as per the given fractions.

GCF of 629,867 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,954

LCM of Fractions 928/629,954/867 is 442656/17

2 928, 954
464, 477

∴ So the LCM of the given numbers is 2 x 464 x 477 = 442656

Least Common Multiple of 928,954 with GCF Formula

Least Common Multiple of 928,954 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 928,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,954) = 2

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

GCF(928,954) x common factors =2 x 1 = 2

LCM(928,954) = ( 928 × 954 ) / 2

LCM(928,954) = 885312 / 2

LCM(928,954) = 442656


Lets's calculate GCF of 629,867

17 629, 867
37, 51

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442656/17

Therefore the LCM of Fractions 928/629,954/867 is 442656/17

Greatest Common Factor of 629,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,867 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 629,867 . The biggest common factor number is the GCF number.
So the greatest common factor 629,867 is 17.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 928/629, 954/867

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 928/629, 954/867?

Answer: LCM of Numerators as per given numbers 928/629, 954/867 is

LCM of Numerators i.e. for 928,954 is 442656

GCF of denominators i.e. for 629,867 is 17.

Thus, LCM of Fractions is 442656/17.Finally, LCM of Fractions for 928/629, 954/867 is 442656/17.