Least Common Multiple of 450/355, 9582/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/355, 9582/625 quickly i.e. 143730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/355, 9582/625 is 143730.

LCM(450/355, 9582/625) = 143730

LCM of 450/355, 9582/625

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 450/355,9582/625

Given numbers are 450/355,9582/625

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 450,9582

Least Common Multiple of Numerators i.e. LCM of 450,9582 is 718650.

GCF of Denominators means GCF of 355,625 as per the given fractions.

GCF of 355,625 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,9582

LCM of Fractions 450/355,9582/625 is 143730

2 450, 9582
3 225, 4791
75, 1597

∴ So the LCM of the given numbers is 2 x 3 x 75 x 1597 = 718650

Least Common Multiple of 450,9582 with GCF Formula

Least Common Multiple of 450,9582 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 450,9582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,9582) = 6

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

GCF(450,9582) x common factors =6 x 1 = 6

LCM(450,9582) = ( 450 × 9582 ) / 6

LCM(450,9582) = 4311900 / 6

LCM(450,9582) = 718650


Lets's calculate GCF of 355,625

5 355, 625
71, 125

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 718650/5

Therefore the LCM of Fractions 450/355,9582/625 is 143730

Greatest Common Factor of 355,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,625 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 355,625 . The biggest common factor number is the GCF number.
So the greatest common factor 355,625 is 5.


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 450/355, 9582/625

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 450/355, 9582/625?

Answer: LCM of Numerators as per given numbers 450/355, 9582/625 is

LCM of Numerators i.e. for 450,9582 is 718650

GCF of denominators i.e. for 355,625 is 5.

Thus, LCM of Fractions is 143730.Finally, LCM of Fractions for 450/355, 9582/625 is 143730.