Least Common Multiple of 900/391, 500/552, 505/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/391, 500/552, 505/604 quickly i.e. 454500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/391, 500/552, 505/604 is 454500.

LCM(900/391, 500/552, 505/604) = 454500

LCM of 900/391, 500/552, 505/604

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 900/391,500/552,505/604

Given numbers are 900/391,500/552,505/604

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 900,500,505

Least Common Multiple of Numerators i.e. LCM of 900,500,505 is 454500.

GCF of Denominators means GCF of 391,552,604 as per the given fractions.

GCF of 391,552,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,500,505

LCM of Fractions 900/391,500/552,505/604 is 454500

2 900, 500, 505
2 450, 250, 505
5 225, 125, 505
5 45, 25, 101
9, 5, 101

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 9 x 5 x 101 = 454500

Least Common Multiple of 900,500,505 with GCF Formula

Least Common Multiple of 900,500,505 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 900,500,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,500,505) = 5

common factors(in case of two or more numbers have common factors) = 100

GCF(900,500,505) x common factors =5 x 100 = 500

LCM(900,500,505) = ( 900 × 500 × 505 ) / 500

LCM(900,500,505) = 227250000 / 500

LCM(900,500,505) = 454500


Lets's calculate GCF of 391,552,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454500/1

Therefore the LCM of Fractions 900/391,500/552,505/604 is 454500

Greatest Common Factor of 391,552,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,552,604 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 391,552,604 . The biggest common factor number is the GCF number.
So the greatest common factor 391,552,604 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 900/391, 500/552, 505/604

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 900/391, 500/552, 505/604?

Answer: LCM of Numerators as per given numbers 900/391, 500/552, 505/604 is

LCM of Numerators i.e. for 900,500,505 is 454500

GCF of denominators i.e. for 391,552,604 is 1.

Thus, LCM of Fractions is 454500.Finally, LCM of Fractions for 900/391, 500/552, 505/604 is 454500.