Least Common Multiple of 42/818, 334/616, 831/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/818, 334/616, 831/954 quickly i.e. 971439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/818, 334/616, 831/954 is 971439.

LCM(42/818, 334/616, 831/954) = 971439

LCM of 42/818, 334/616, 831/954

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 42/818,334/616,831/954

Given numbers are 42/818,334/616,831/954

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 42,334,831

Least Common Multiple of Numerators i.e. LCM of 42,334,831 is 1942878.

GCF of Denominators means GCF of 818,616,954 as per the given fractions.

GCF of 818,616,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,334,831

LCM of Fractions 42/818,334/616,831/954 is 971439

2 42, 334, 831
3 21, 167, 831
7, 167, 277

∴ So the LCM of the given numbers is 2 x 3 x 7 x 167 x 277 = 1942878

Least Common Multiple of 42,334,831 with GCF Formula

Least Common Multiple of 42,334,831 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 42,334,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,334,831) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,334,831) x common factors =1 x 6 = 6

LCM(42,334,831) = ( 42 × 334 × 831 ) / 6

LCM(42,334,831) = 11657268 / 6

LCM(42,334,831) = 1942878


Lets's calculate GCF of 818,616,954

2 818, 616, 954
409, 308, 477

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1942878/2

Therefore the LCM of Fractions 42/818,334/616,831/954 is 971439

Greatest Common Factor of 818,616,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,616,954 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

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 818,616,954 . The biggest common factor number is the GCF number.
So the greatest common factor 818,616,954 is 2.


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 42/818, 334/616, 831/954

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 42/818, 334/616, 831/954?

Answer: LCM of Numerators as per given numbers 42/818, 334/616, 831/954 is

LCM of Numerators i.e. for 42,334,831 is 1942878

GCF of denominators i.e. for 818,616,954 is 2.

Thus, LCM of Fractions is 971439.Finally, LCM of Fractions for 42/818, 334/616, 831/954 is 971439.