Least Common Multiple of 216/318, 355/532, 765/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/318, 355/532, 765/639 quickly i.e. 1303560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/318, 355/532, 765/639 is 1303560.

LCM(216/318, 355/532, 765/639) = 1303560

LCM of 216/318, 355/532, 765/639

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 216/318,355/532,765/639

Given numbers are 216/318,355/532,765/639

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 216,355,765

Least Common Multiple of Numerators i.e. LCM of 216,355,765 is 1303560.

GCF of Denominators means GCF of 318,532,639 as per the given fractions.

GCF of 318,532,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,355,765

LCM of Fractions 216/318,355/532,765/639 is 1303560

3 216, 355, 765
3 72, 355, 255
5 24, 355, 85
24, 71, 17

∴ So the LCM of the given numbers is 3 x 3 x 5 x 24 x 71 x 17 = 1303560

Least Common Multiple of 216,355,765 with GCF Formula

Least Common Multiple of 216,355,765 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 216,355,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,355,765) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(216,355,765) x common factors =1 x 45 = 45

LCM(216,355,765) = ( 216 × 355 × 765 ) / 45

LCM(216,355,765) = 58660200 / 45

LCM(216,355,765) = 1303560


Lets's calculate GCF of 318,532,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1303560/1

Therefore the LCM of Fractions 216/318,355/532,765/639 is 1303560

Greatest Common Factor of 318,532,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,532,639 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 318,532,639 . The biggest common factor number is the GCF number.
So the greatest common factor 318,532,639 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 216/318, 355/532, 765/639

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 216/318, 355/532, 765/639?

Answer: LCM of Numerators as per given numbers 216/318, 355/532, 765/639 is

LCM of Numerators i.e. for 216,355,765 is 1303560

GCF of denominators i.e. for 318,532,639 is 1.

Thus, LCM of Fractions is 1303560.Finally, LCM of Fractions for 216/318, 355/532, 765/639 is 1303560.