Least Common Multiple of 157/153, 471/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/153, 471/825 quickly i.e. 157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/153, 471/825 is 157.

LCM(157/153, 471/825) = 157

LCM of 157/153, 471/825

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 157/153,471/825

Given numbers are 157/153,471/825

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 157,471

Least Common Multiple of Numerators i.e. LCM of 157,471 is 471.

GCF of Denominators means GCF of 153,825 as per the given fractions.

GCF of 153,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,471

LCM of Fractions 157/153,471/825 is 157

157 157, 471
1, 3

∴ So the LCM of the given numbers is 157 x 1 x 3 = 471

Least Common Multiple of 157,471 with GCF Formula

Least Common Multiple of 157,471 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 157,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,471) = 157

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

GCF(157,471) x common factors =157 x 1 = 157

LCM(157,471) = ( 157 × 471 ) / 157

LCM(157,471) = 73947 / 157

LCM(157,471) = 471


Lets's calculate GCF of 153,825

3 153, 825
51, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471/3

Therefore the LCM of Fractions 157/153,471/825 is 157

Greatest Common Factor of 153,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,825 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 153,825 . The biggest common factor number is the GCF number.
So the greatest common factor 153,825 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 157/153, 471/825

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 157/153, 471/825?

Answer: LCM of Numerators as per given numbers 157/153, 471/825 is

LCM of Numerators i.e. for 157,471 is 471

GCF of denominators i.e. for 153,825 is 3.

Thus, LCM of Fractions is 157.Finally, LCM of Fractions for 157/153, 471/825 is 157.