Least Common Multiple of 97/523, 260/733, 851/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/523, 260/733, 851/152 quickly i.e. 21462220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/523, 260/733, 851/152 is 21462220.

LCM(97/523, 260/733, 851/152) = 21462220

LCM of 97/523, 260/733, 851/152

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 97/523,260/733,851/152

Given numbers are 97/523,260/733,851/152

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 97,260,851

Least Common Multiple of Numerators i.e. LCM of 97,260,851 is 21462220.

GCF of Denominators means GCF of 523,733,152 as per the given fractions.

GCF of 523,733,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,260,851

LCM of Fractions 97/523,260/733,851/152 is 21462220

Given numbers has no common factors except 1. So, there LCM is their product i.e 21462220

Least Common Multiple of 97,260,851 with GCF Formula

Least Common Multiple of 97,260,851 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 97,260,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,260,851) = 1

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

GCF(97,260,851) x common factors =1 x 1 = 1

LCM(97,260,851) = ( 97 × 260 × 851 ) / 1

LCM(97,260,851) = 21462220 / 1

LCM(97,260,851) = 21462220


Lets's calculate GCF of 523,733,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21462220/1

Therefore the LCM of Fractions 97/523,260/733,851/152 is 21462220

Greatest Common Factor of 523,733,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,733,152 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 523,733,152 . The biggest common factor number is the GCF number.
So the greatest common factor 523,733,152 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 97/523, 260/733, 851/152

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 97/523, 260/733, 851/152?

Answer: LCM of Numerators as per given numbers 97/523, 260/733, 851/152 is

LCM of Numerators i.e. for 97,260,851 is 21462220

GCF of denominators i.e. for 523,733,152 is 1.

Thus, LCM of Fractions is 21462220.Finally, LCM of Fractions for 97/523, 260/733, 851/152 is 21462220.