Least Common Multiple of 309/72, 867/67, 770/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/72, 867/67, 770/715 quickly i.e. 68761770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/72, 867/67, 770/715 is 68761770.

LCM(309/72, 867/67, 770/715) = 68761770

LCM of 309/72, 867/67, 770/715

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 309/72,867/67,770/715

Given numbers are 309/72,867/67,770/715

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 309,867,770

Least Common Multiple of Numerators i.e. LCM of 309,867,770 is 68761770.

GCF of Denominators means GCF of 72,67,715 as per the given fractions.

GCF of 72,67,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,867,770

LCM of Fractions 309/72,867/67,770/715 is 68761770

3 309, 867, 770
103, 289, 770

∴ So the LCM of the given numbers is 3 x 103 x 289 x 770 = 68761770

Least Common Multiple of 309,867,770 with GCF Formula

Least Common Multiple of 309,867,770 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 309,867,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,867,770) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(309,867,770) x common factors =1 x 3 = 3

LCM(309,867,770) = ( 309 × 867 × 770 ) / 3

LCM(309,867,770) = 206285310 / 3

LCM(309,867,770) = 68761770


Lets's calculate GCF of 72,67,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68761770/1

Therefore the LCM of Fractions 309/72,867/67,770/715 is 68761770

Greatest Common Factor of 72,67,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,67,715 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 72,67,715 . The biggest common factor number is the GCF number.
So the greatest common factor 72,67,715 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 309/72, 867/67, 770/715

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 309/72, 867/67, 770/715?

Answer: LCM of Numerators as per given numbers 309/72, 867/67, 770/715 is

LCM of Numerators i.e. for 309,867,770 is 68761770

GCF of denominators i.e. for 72,67,715 is 1.

Thus, LCM of Fractions is 68761770.Finally, LCM of Fractions for 309/72, 867/67, 770/715 is 68761770.