Least Common Multiple of 67/408, 971/103, 915/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/408, 971/103, 915/574 quickly i.e. 59527155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/408, 971/103, 915/574 is 59527155.

LCM(67/408, 971/103, 915/574) = 59527155

LCM of 67/408, 971/103, 915/574

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 67/408,971/103,915/574

Given numbers are 67/408,971/103,915/574

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 67,971,915

Least Common Multiple of Numerators i.e. LCM of 67,971,915 is 59527155.

GCF of Denominators means GCF of 408,103,574 as per the given fractions.

GCF of 408,103,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,971,915

LCM of Fractions 67/408,971/103,915/574 is 59527155

Given numbers has no common factors except 1. So, there LCM is their product i.e 59527155

Least Common Multiple of 67,971,915 with GCF Formula

Least Common Multiple of 67,971,915 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 67,971,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,971,915) = 1

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

GCF(67,971,915) x common factors =1 x 1 = 1

LCM(67,971,915) = ( 67 × 971 × 915 ) / 1

LCM(67,971,915) = 59527155 / 1

LCM(67,971,915) = 59527155


Lets's calculate GCF of 408,103,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59527155/1

Therefore the LCM of Fractions 67/408,971/103,915/574 is 59527155

Greatest Common Factor of 408,103,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,103,574 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 408,103,574 . The biggest common factor number is the GCF number.
So the greatest common factor 408,103,574 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 67/408, 971/103, 915/574

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 67/408, 971/103, 915/574?

Answer: LCM of Numerators as per given numbers 67/408, 971/103, 915/574 is

LCM of Numerators i.e. for 67,971,915 is 59527155

GCF of denominators i.e. for 408,103,574 is 1.

Thus, LCM of Fractions is 59527155.Finally, LCM of Fractions for 67/408, 971/103, 915/574 is 59527155.