Least Common Multiple of 34/968, 508/777, 833/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/968, 508/777, 833/956 quickly i.e. 423164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/968, 508/777, 833/956 is 423164.

LCM(34/968, 508/777, 833/956) = 423164

LCM of 34/968, 508/777, 833/956

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 34/968,508/777,833/956

Given numbers are 34/968,508/777,833/956

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 34,508,833

Least Common Multiple of Numerators i.e. LCM of 34,508,833 is 423164.

GCF of Denominators means GCF of 968,777,956 as per the given fractions.

GCF of 968,777,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,508,833

LCM of Fractions 34/968,508/777,833/956 is 423164

2 34, 508, 833
17 17, 254, 833
1, 254, 49

∴ So the LCM of the given numbers is 2 x 17 x 1 x 254 x 49 = 423164

Least Common Multiple of 34,508,833 with GCF Formula

Least Common Multiple of 34,508,833 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 34,508,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,508,833) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,508,833) x common factors =1 x 34 = 34

LCM(34,508,833) = ( 34 × 508 × 833 ) / 34

LCM(34,508,833) = 14387576 / 34

LCM(34,508,833) = 423164


Lets's calculate GCF of 968,777,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423164/1

Therefore the LCM of Fractions 34/968,508/777,833/956 is 423164

Greatest Common Factor of 968,777,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,777,956 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 968,777,956 . The biggest common factor number is the GCF number.
So the greatest common factor 968,777,956 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 34/968, 508/777, 833/956

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 34/968, 508/777, 833/956?

Answer: LCM of Numerators as per given numbers 34/968, 508/777, 833/956 is

LCM of Numerators i.e. for 34,508,833 is 423164

GCF of denominators i.e. for 968,777,956 is 1.

Thus, LCM of Fractions is 423164.Finally, LCM of Fractions for 34/968, 508/777, 833/956 is 423164.