Least Common Multiple of 138/420, 912/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/420, 912/525 quickly i.e. 20976/105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/420, 912/525 is 20976/105.

LCM(138/420, 912/525) = 20976/105

LCM of 138/420, 912/525

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 138/420,912/525

Given numbers are 138/420,912/525

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 138,912

Least Common Multiple of Numerators i.e. LCM of 138,912 is 20976.

GCF of Denominators means GCF of 420,525 as per the given fractions.

GCF of 420,525 is 105 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,912

LCM of Fractions 138/420,912/525 is 20976/105

2 138, 912
3 69, 456
23, 152

∴ So the LCM of the given numbers is 2 x 3 x 23 x 152 = 20976

Least Common Multiple of 138,912 with GCF Formula

Least Common Multiple of 138,912 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 138,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,912) = 6

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

GCF(138,912) x common factors =6 x 1 = 6

LCM(138,912) = ( 138 × 912 ) / 6

LCM(138,912) = 125856 / 6

LCM(138,912) = 20976


Lets's calculate GCF of 420,525

3 420, 525
5 140, 175
7 28, 35
4, 5

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20976/105

Therefore the LCM of Fractions 138/420,912/525 is 20976/105

Greatest Common Factor of 420,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,525 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 420,525 . The biggest common factor number is the GCF number.
So the greatest common factor 420,525 is 105.


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 138/420, 912/525

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 138/420, 912/525?

Answer: LCM of Numerators as per given numbers 138/420, 912/525 is

LCM of Numerators i.e. for 138,912 is 20976

GCF of denominators i.e. for 420,525 is 105.

Thus, LCM of Fractions is 20976/105.Finally, LCM of Fractions for 138/420, 912/525 is 20976/105.