Least Common Multiple of 753/28, 693/61, 151/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/28, 693/61, 151/528 quickly i.e. 26265393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/28, 693/61, 151/528 is 26265393.

LCM(753/28, 693/61, 151/528) = 26265393

LCM of 753/28, 693/61, 151/528

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 753/28,693/61,151/528

Given numbers are 753/28,693/61,151/528

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 753,693,151

Least Common Multiple of Numerators i.e. LCM of 753,693,151 is 26265393.

GCF of Denominators means GCF of 28,61,528 as per the given fractions.

GCF of 28,61,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,693,151

LCM of Fractions 753/28,693/61,151/528 is 26265393

3 753, 693, 151
251, 231, 151

∴ So the LCM of the given numbers is 3 x 251 x 231 x 151 = 26265393

Least Common Multiple of 753,693,151 with GCF Formula

Least Common Multiple of 753,693,151 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 753,693,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,693,151) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(753,693,151) x common factors =1 x 3 = 3

LCM(753,693,151) = ( 753 × 693 × 151 ) / 3

LCM(753,693,151) = 78796179 / 3

LCM(753,693,151) = 26265393


Lets's calculate GCF of 28,61,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26265393/1

Therefore the LCM of Fractions 753/28,693/61,151/528 is 26265393

Greatest Common Factor of 28,61,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,61,528 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 28,61,528 . The biggest common factor number is the GCF number.
So the greatest common factor 28,61,528 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 753/28, 693/61, 151/528

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 753/28, 693/61, 151/528?

Answer: LCM of Numerators as per given numbers 753/28, 693/61, 151/528 is

LCM of Numerators i.e. for 753,693,151 is 26265393

GCF of denominators i.e. for 28,61,528 is 1.

Thus, LCM of Fractions is 26265393.Finally, LCM of Fractions for 753/28, 693/61, 151/528 is 26265393.