Least Common Multiple of 75/497, 730/450, 564/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/497, 730/450, 564/910 quickly i.e. 1029300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/497, 730/450, 564/910 is 1029300.

LCM(75/497, 730/450, 564/910) = 1029300

LCM of 75/497, 730/450, 564/910

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 75/497,730/450,564/910

Given numbers are 75/497,730/450,564/910

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 75,730,564

Least Common Multiple of Numerators i.e. LCM of 75,730,564 is 1029300.

GCF of Denominators means GCF of 497,450,910 as per the given fractions.

GCF of 497,450,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,730,564

LCM of Fractions 75/497,730/450,564/910 is 1029300

2 75, 730, 564
3 75, 365, 282
5 25, 365, 94
5, 73, 94

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 73 x 94 = 1029300

Least Common Multiple of 75,730,564 with GCF Formula

Least Common Multiple of 75,730,564 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 75,730,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,730,564) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(75,730,564) x common factors =1 x 30 = 30

LCM(75,730,564) = ( 75 × 730 × 564 ) / 30

LCM(75,730,564) = 30879000 / 30

LCM(75,730,564) = 1029300


Lets's calculate GCF of 497,450,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1029300/1

Therefore the LCM of Fractions 75/497,730/450,564/910 is 1029300

Greatest Common Factor of 497,450,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,450,910 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 497,450,910 . The biggest common factor number is the GCF number.
So the greatest common factor 497,450,910 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 75/497, 730/450, 564/910

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 75/497, 730/450, 564/910?

Answer: LCM of Numerators as per given numbers 75/497, 730/450, 564/910 is

LCM of Numerators i.e. for 75,730,564 is 1029300

GCF of denominators i.e. for 497,450,910 is 1.

Thus, LCM of Fractions is 1029300.Finally, LCM of Fractions for 75/497, 730/450, 564/910 is 1029300.