Least Common Multiple of 635/21, 7059/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 635/21, 7059/525 quickly i.e. 4482465/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 635/21, 7059/525 is 4482465/21.

LCM(635/21, 7059/525) = 4482465/21

LCM of 635/21, 7059/525

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 635/21,7059/525

Given numbers are 635/21,7059/525

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 635,7059

Least Common Multiple of Numerators i.e. LCM of 635,7059 is 4482465.

GCF of Denominators means GCF of 21,525 as per the given fractions.

GCF of 21,525 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 635,7059

LCM of Fractions 635/21,7059/525 is 4482465/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 4482465

Least Common Multiple of 635,7059 with GCF Formula

Least Common Multiple of 635,7059 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 635,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,7059) = 1

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

GCF(635,7059) x common factors =1 x 1 = 1

LCM(635,7059) = ( 635 × 7059 ) / 1

LCM(635,7059) = 4482465 / 1

LCM(635,7059) = 4482465


Lets's calculate GCF of 21,525

3 21, 525
7 7, 175
1, 25

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4482465/21

Therefore the LCM of Fractions 635/21,7059/525 is 4482465/21

Greatest Common Factor of 21,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,525 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 21,525 . The biggest common factor number is the GCF number.
So the greatest common factor 21,525 is 21.


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 635/21, 7059/525

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 635/21, 7059/525?

Answer: LCM of Numerators as per given numbers 635/21, 7059/525 is

LCM of Numerators i.e. for 635,7059 is 4482465

GCF of denominators i.e. for 21,525 is 21.

Thus, LCM of Fractions is 4482465/21.Finally, LCM of Fractions for 635/21, 7059/525 is 4482465/21.