Least Common Multiple of 67/867, 47/962, 788/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/867, 47/962, 788/968 quickly i.e. 2481412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/867, 47/962, 788/968 is 2481412.

LCM(67/867, 47/962, 788/968) = 2481412

LCM of 67/867, 47/962, 788/968

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 67/867,47/962,788/968

Given numbers are 67/867,47/962,788/968

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 67,47,788

Least Common Multiple of Numerators i.e. LCM of 67,47,788 is 2481412.

GCF of Denominators means GCF of 867,962,968 as per the given fractions.

GCF of 867,962,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,47,788

LCM of Fractions 67/867,47/962,788/968 is 2481412

Given numbers has no common factors except 1. So, there LCM is their product i.e 2481412

Least Common Multiple of 67,47,788 with GCF Formula

Least Common Multiple of 67,47,788 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 67,47,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,47,788) = 1

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

GCF(67,47,788) x common factors =1 x 1 = 1

LCM(67,47,788) = ( 67 × 47 × 788 ) / 1

LCM(67,47,788) = 2481412 / 1

LCM(67,47,788) = 2481412


Lets's calculate GCF of 867,962,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2481412/1

Therefore the LCM of Fractions 67/867,47/962,788/968 is 2481412

Greatest Common Factor of 867,962,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,962,968 By Matching Biggest Common Factor Method

Factors of 867

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

1,3,17,51,289,867

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

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

Greatest Common Factor

We found the factors 867,962,968 . The biggest common factor number is the GCF number.
So the greatest common factor 867,962,968 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 67/867, 47/962, 788/968

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 67/867, 47/962, 788/968?

Answer: LCM of Numerators as per given numbers 67/867, 47/962, 788/968 is

LCM of Numerators i.e. for 67,47,788 is 2481412

GCF of denominators i.e. for 867,962,968 is 1.

Thus, LCM of Fractions is 2481412.Finally, LCM of Fractions for 67/867, 47/962, 788/968 is 2481412.