Least Common Multiple of 754/750, 572/122, 404/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/750, 572/122, 404/547 quickly i.e. 1675388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/750, 572/122, 404/547 is 1675388.

LCM(754/750, 572/122, 404/547) = 1675388

LCM of 754/750, 572/122, 404/547

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 754/750,572/122,404/547

Given numbers are 754/750,572/122,404/547

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 754,572,404

Least Common Multiple of Numerators i.e. LCM of 754,572,404 is 1675388.

GCF of Denominators means GCF of 750,122,547 as per the given fractions.

GCF of 750,122,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,572,404

LCM of Fractions 754/750,572/122,404/547 is 1675388

2 754, 572, 404
2 377, 286, 202
13 377, 143, 101
29, 11, 101

∴ So the LCM of the given numbers is 2 x 2 x 13 x 29 x 11 x 101 = 1675388

Least Common Multiple of 754,572,404 with GCF Formula

Least Common Multiple of 754,572,404 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 754,572,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,572,404) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(754,572,404) x common factors =2 x 52 = 104

LCM(754,572,404) = ( 754 × 572 × 404 ) / 104

LCM(754,572,404) = 174240352 / 104

LCM(754,572,404) = 1675388


Lets's calculate GCF of 750,122,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1675388/1

Therefore the LCM of Fractions 754/750,572/122,404/547 is 1675388

Greatest Common Factor of 750,122,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,122,547 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 750,122,547 . The biggest common factor number is the GCF number.
So the greatest common factor 750,122,547 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 754/750, 572/122, 404/547

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 754/750, 572/122, 404/547?

Answer: LCM of Numerators as per given numbers 754/750, 572/122, 404/547 is

LCM of Numerators i.e. for 754,572,404 is 1675388

GCF of denominators i.e. for 750,122,547 is 1.

Thus, LCM of Fractions is 1675388.Finally, LCM of Fractions for 754/750, 572/122, 404/547 is 1675388.