Least Common Multiple of 453/702, 509/461, 863/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 453/702, 509/461, 863/690 quickly i.e. 198987951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 453/702, 509/461, 863/690 is 198987951.

LCM(453/702, 509/461, 863/690) = 198987951

LCM of 453/702, 509/461, 863/690

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 453/702,509/461,863/690

Given numbers are 453/702,509/461,863/690

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 453,509,863

Least Common Multiple of Numerators i.e. LCM of 453,509,863 is 198987951.

GCF of Denominators means GCF of 702,461,690 as per the given fractions.

GCF of 702,461,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 453,509,863

LCM of Fractions 453/702,509/461,863/690 is 198987951

Given numbers has no common factors except 1. So, there LCM is their product i.e 198987951

Least Common Multiple of 453,509,863 with GCF Formula

Least Common Multiple of 453,509,863 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 453,509,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,509,863) = 1

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

GCF(453,509,863) x common factors =1 x 1 = 1

LCM(453,509,863) = ( 453 × 509 × 863 ) / 1

LCM(453,509,863) = 198987951 / 1

LCM(453,509,863) = 198987951


Lets's calculate GCF of 702,461,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198987951/1

Therefore the LCM of Fractions 453/702,509/461,863/690 is 198987951

Greatest Common Factor of 702,461,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,461,690 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 702,461,690 . The biggest common factor number is the GCF number.
So the greatest common factor 702,461,690 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 453/702, 509/461, 863/690

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 453/702, 509/461, 863/690?

Answer: LCM of Numerators as per given numbers 453/702, 509/461, 863/690 is

LCM of Numerators i.e. for 453,509,863 is 198987951

GCF of denominators i.e. for 702,461,690 is 1.

Thus, LCM of Fractions is 198987951.Finally, LCM of Fractions for 453/702, 509/461, 863/690 is 198987951.