Least Common Multiple of 633/105, 570/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 633/105, 570/702 quickly i.e. 40090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 633/105, 570/702 is 40090.

LCM(633/105, 570/702) = 40090

LCM of 633/105, 570/702

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 633/105,570/702

Given numbers are 633/105,570/702

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 633,570

Least Common Multiple of Numerators i.e. LCM of 633,570 is 120270.

GCF of Denominators means GCF of 105,702 as per the given fractions.

GCF of 105,702 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 633,570

LCM of Fractions 633/105,570/702 is 40090

3 633, 570
211, 190

∴ So the LCM of the given numbers is 3 x 211 x 190 = 120270

Least Common Multiple of 633,570 with GCF Formula

Least Common Multiple of 633,570 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 633,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,570) = 3

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

GCF(633,570) x common factors =3 x 1 = 3

LCM(633,570) = ( 633 × 570 ) / 3

LCM(633,570) = 360810 / 3

LCM(633,570) = 120270


Lets's calculate GCF of 105,702

3 105, 702
35, 234

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120270/3

Therefore the LCM of Fractions 633/105,570/702 is 40090

Greatest Common Factor of 105,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,702 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 105,702 . The biggest common factor number is the GCF number.
So the greatest common factor 105,702 is 3.


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 633/105, 570/702

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 633/105, 570/702?

Answer: LCM of Numerators as per given numbers 633/105, 570/702 is

LCM of Numerators i.e. for 633,570 is 120270

GCF of denominators i.e. for 105,702 is 3.

Thus, LCM of Fractions is 40090.Finally, LCM of Fractions for 633/105, 570/702 is 40090.