Least Common Multiple of 412/715, 145/548, 217/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/715, 145/548, 217/158 quickly i.e. 12963580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/715, 145/548, 217/158 is 12963580.

LCM(412/715, 145/548, 217/158) = 12963580

LCM of 412/715, 145/548, 217/158

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 412/715,145/548,217/158

Given numbers are 412/715,145/548,217/158

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 412,145,217

Least Common Multiple of Numerators i.e. LCM of 412,145,217 is 12963580.

GCF of Denominators means GCF of 715,548,158 as per the given fractions.

GCF of 715,548,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,145,217

LCM of Fractions 412/715,145/548,217/158 is 12963580

Given numbers has no common factors except 1. So, there LCM is their product i.e 12963580

Least Common Multiple of 412,145,217 with GCF Formula

Least Common Multiple of 412,145,217 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 412,145,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,145,217) = 1

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

GCF(412,145,217) x common factors =1 x 1 = 1

LCM(412,145,217) = ( 412 × 145 × 217 ) / 1

LCM(412,145,217) = 12963580 / 1

LCM(412,145,217) = 12963580


Lets's calculate GCF of 715,548,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12963580/1

Therefore the LCM of Fractions 412/715,145/548,217/158 is 12963580

Greatest Common Factor of 715,548,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,548,158 By Matching Biggest Common Factor Method

Factors of 715

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

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

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 715,548,158 . The biggest common factor number is the GCF number.
So the greatest common factor 715,548,158 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 412/715, 145/548, 217/158

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 412/715, 145/548, 217/158?

Answer: LCM of Numerators as per given numbers 412/715, 145/548, 217/158 is

LCM of Numerators i.e. for 412,145,217 is 12963580

GCF of denominators i.e. for 715,548,158 is 1.

Thus, LCM of Fractions is 12963580.Finally, LCM of Fractions for 412/715, 145/548, 217/158 is 12963580.