Least Common Multiple of 23/868, 55/152, 784/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/868, 55/152, 784/620 quickly i.e. 247940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/868, 55/152, 784/620 is 247940.

LCM(23/868, 55/152, 784/620) = 247940

LCM of 23/868, 55/152, 784/620

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 23/868,55/152,784/620

Given numbers are 23/868,55/152,784/620

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 23,55,784

Least Common Multiple of Numerators i.e. LCM of 23,55,784 is 991760.

GCF of Denominators means GCF of 868,152,620 as per the given fractions.

GCF of 868,152,620 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,55,784

LCM of Fractions 23/868,55/152,784/620 is 247940

Given numbers has no common factors except 1. So, there LCM is their product i.e 991760

Least Common Multiple of 23,55,784 with GCF Formula

Least Common Multiple of 23,55,784 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 23,55,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,55,784) = 1

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

GCF(23,55,784) x common factors =1 x 1 = 1

LCM(23,55,784) = ( 23 × 55 × 784 ) / 1

LCM(23,55,784) = 991760 / 1

LCM(23,55,784) = 991760


Lets's calculate GCF of 868,152,620

2 868, 152, 620
2 434, 76, 310
217, 38, 155

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991760/4

Therefore the LCM of Fractions 23/868,55/152,784/620 is 247940

Greatest Common Factor of 868,152,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,152,620 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 868,152,620 . The biggest common factor number is the GCF number.
So the greatest common factor 868,152,620 is 4.


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 23/868, 55/152, 784/620

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 23/868, 55/152, 784/620?

Answer: LCM of Numerators as per given numbers 23/868, 55/152, 784/620 is

LCM of Numerators i.e. for 23,55,784 is 991760

GCF of denominators i.e. for 868,152,620 is 4.

Thus, LCM of Fractions is 247940.Finally, LCM of Fractions for 23/868, 55/152, 784/620 is 247940.