Least Common Multiple of 68/123, 623/365, 925/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/123, 623/365, 925/150 quickly i.e. 39186700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/123, 623/365, 925/150 is 39186700.

LCM(68/123, 623/365, 925/150) = 39186700

LCM of 68/123, 623/365, 925/150

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 68/123,623/365,925/150

Given numbers are 68/123,623/365,925/150

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 68,623,925

Least Common Multiple of Numerators i.e. LCM of 68,623,925 is 39186700.

GCF of Denominators means GCF of 123,365,150 as per the given fractions.

GCF of 123,365,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,623,925

LCM of Fractions 68/123,623/365,925/150 is 39186700

Given numbers has no common factors except 1. So, there LCM is their product i.e 39186700

Least Common Multiple of 68,623,925 with GCF Formula

Least Common Multiple of 68,623,925 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 68,623,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,623,925) = 1

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

GCF(68,623,925) x common factors =1 x 1 = 1

LCM(68,623,925) = ( 68 × 623 × 925 ) / 1

LCM(68,623,925) = 39186700 / 1

LCM(68,623,925) = 39186700


Lets's calculate GCF of 123,365,150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39186700/1

Therefore the LCM of Fractions 68/123,623/365,925/150 is 39186700

Greatest Common Factor of 123,365,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,365,150 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 123,365,150 . The biggest common factor number is the GCF number.
So the greatest common factor 123,365,150 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 68/123, 623/365, 925/150

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 68/123, 623/365, 925/150?

Answer: LCM of Numerators as per given numbers 68/123, 623/365, 925/150 is

LCM of Numerators i.e. for 68,623,925 is 39186700

GCF of denominators i.e. for 123,365,150 is 1.

Thus, LCM of Fractions is 39186700.Finally, LCM of Fractions for 68/123, 623/365, 925/150 is 39186700.