Least Common Multiple of 69/633, 96/157, 575/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/633, 96/157, 575/837 quickly i.e. 55200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/633, 96/157, 575/837 is 55200.

LCM(69/633, 96/157, 575/837) = 55200

LCM of 69/633, 96/157, 575/837

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 69/633,96/157,575/837

Given numbers are 69/633,96/157,575/837

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 69,96,575

Least Common Multiple of Numerators i.e. LCM of 69,96,575 is 55200.

GCF of Denominators means GCF of 633,157,837 as per the given fractions.

GCF of 633,157,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,96,575

LCM of Fractions 69/633,96/157,575/837 is 55200

3 69, 96, 575
23 23, 32, 575
1, 32, 25

∴ So the LCM of the given numbers is 3 x 23 x 1 x 32 x 25 = 55200

Least Common Multiple of 69,96,575 with GCF Formula

Least Common Multiple of 69,96,575 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 69,96,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,96,575) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(69,96,575) x common factors =1 x 69 = 69

LCM(69,96,575) = ( 69 × 96 × 575 ) / 69

LCM(69,96,575) = 3808800 / 69

LCM(69,96,575) = 55200


Lets's calculate GCF of 633,157,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55200/1

Therefore the LCM of Fractions 69/633,96/157,575/837 is 55200

Greatest Common Factor of 633,157,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,157,837 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 633,157,837 . The biggest common factor number is the GCF number.
So the greatest common factor 633,157,837 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 69/633, 96/157, 575/837

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 69/633, 96/157, 575/837?

Answer: LCM of Numerators as per given numbers 69/633, 96/157, 575/837 is

LCM of Numerators i.e. for 69,96,575 is 55200

GCF of denominators i.e. for 633,157,837 is 1.

Thus, LCM of Fractions is 55200.Finally, LCM of Fractions for 69/633, 96/157, 575/837 is 55200.