Least Common Multiple of 67/719, 938/915, 317/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/719, 938/915, 317/567 quickly i.e. 297346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/719, 938/915, 317/567 is 297346.

LCM(67/719, 938/915, 317/567) = 297346

LCM of 67/719, 938/915, 317/567

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 67/719,938/915,317/567

Given numbers are 67/719,938/915,317/567

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 67,938,317

Least Common Multiple of Numerators i.e. LCM of 67,938,317 is 297346.

GCF of Denominators means GCF of 719,915,567 as per the given fractions.

GCF of 719,915,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,938,317

LCM of Fractions 67/719,938/915,317/567 is 297346

67 67, 938, 317
1, 14, 317

∴ So the LCM of the given numbers is 67 x 1 x 14 x 317 = 297346

Least Common Multiple of 67,938,317 with GCF Formula

Least Common Multiple of 67,938,317 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 67,938,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,938,317) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(67,938,317) x common factors =1 x 67 = 67

LCM(67,938,317) = ( 67 × 938 × 317 ) / 67

LCM(67,938,317) = 19922182 / 67

LCM(67,938,317) = 297346


Lets's calculate GCF of 719,915,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297346/1

Therefore the LCM of Fractions 67/719,938/915,317/567 is 297346

Greatest Common Factor of 719,915,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,915,567 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 719,915,567 . The biggest common factor number is the GCF number.
So the greatest common factor 719,915,567 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 67/719, 938/915, 317/567

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 67/719, 938/915, 317/567?

Answer: LCM of Numerators as per given numbers 67/719, 938/915, 317/567 is

LCM of Numerators i.e. for 67,938,317 is 297346

GCF of denominators i.e. for 719,915,567 is 1.

Thus, LCM of Fractions is 297346.Finally, LCM of Fractions for 67/719, 938/915, 317/567 is 297346.