Least Common Multiple of 71/177, 119/643, 390/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/177, 119/643, 390/412 quickly i.e. 3295110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/177, 119/643, 390/412 is 3295110.

LCM(71/177, 119/643, 390/412) = 3295110

LCM of 71/177, 119/643, 390/412

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 71/177,119/643,390/412

Given numbers are 71/177,119/643,390/412

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 71,119,390

Least Common Multiple of Numerators i.e. LCM of 71,119,390 is 3295110.

GCF of Denominators means GCF of 177,643,412 as per the given fractions.

GCF of 177,643,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,119,390

LCM of Fractions 71/177,119/643,390/412 is 3295110

Given numbers has no common factors except 1. So, there LCM is their product i.e 3295110

Least Common Multiple of 71,119,390 with GCF Formula

Least Common Multiple of 71,119,390 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 71,119,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,119,390) = 1

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

GCF(71,119,390) x common factors =1 x 1 = 1

LCM(71,119,390) = ( 71 × 119 × 390 ) / 1

LCM(71,119,390) = 3295110 / 1

LCM(71,119,390) = 3295110


Lets's calculate GCF of 177,643,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3295110/1

Therefore the LCM of Fractions 71/177,119/643,390/412 is 3295110

Greatest Common Factor of 177,643,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,643,412 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 177,643,412 . The biggest common factor number is the GCF number.
So the greatest common factor 177,643,412 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 71/177, 119/643, 390/412

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 71/177, 119/643, 390/412?

Answer: LCM of Numerators as per given numbers 71/177, 119/643, 390/412 is

LCM of Numerators i.e. for 71,119,390 is 3295110

GCF of denominators i.e. for 177,643,412 is 1.

Thus, LCM of Fractions is 3295110.Finally, LCM of Fractions for 71/177, 119/643, 390/412 is 3295110.