Least Common Multiple of 450/718, 7065/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/718, 7065/554 quickly i.e. 35325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/718, 7065/554 is 35325.

LCM(450/718, 7065/554) = 35325

LCM of 450/718, 7065/554

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 450/718,7065/554

Given numbers are 450/718,7065/554

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 450,7065

Least Common Multiple of Numerators i.e. LCM of 450,7065 is 70650.

GCF of Denominators means GCF of 718,554 as per the given fractions.

GCF of 718,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,7065

LCM of Fractions 450/718,7065/554 is 35325

3 450, 7065
3 150, 2355
5 50, 785
10, 157

∴ So the LCM of the given numbers is 3 x 3 x 5 x 10 x 157 = 70650

Least Common Multiple of 450,7065 with GCF Formula

Least Common Multiple of 450,7065 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 450,7065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,7065) = 45

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

GCF(450,7065) x common factors =45 x 1 = 45

LCM(450,7065) = ( 450 × 7065 ) / 45

LCM(450,7065) = 3179250 / 45

LCM(450,7065) = 70650


Lets's calculate GCF of 718,554

2 718, 554
359, 277

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70650/2

Therefore the LCM of Fractions 450/718,7065/554 is 35325

Greatest Common Factor of 718,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,554 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 718,554 . The biggest common factor number is the GCF number.
So the greatest common factor 718,554 is 2.


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 450/718, 7065/554

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 450/718, 7065/554?

Answer: LCM of Numerators as per given numbers 450/718, 7065/554 is

LCM of Numerators i.e. for 450,7065 is 70650

GCF of denominators i.e. for 718,554 is 2.

Thus, LCM of Fractions is 35325.Finally, LCM of Fractions for 450/718, 7065/554 is 35325.