Least Common Multiple of 507/189, 774/310, 562/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/189, 774/310, 562/419 quickly i.e. 36756486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/189, 774/310, 562/419 is 36756486.

LCM(507/189, 774/310, 562/419) = 36756486

LCM of 507/189, 774/310, 562/419

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 507/189,774/310,562/419

Given numbers are 507/189,774/310,562/419

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 507,774,562

Least Common Multiple of Numerators i.e. LCM of 507,774,562 is 36756486.

GCF of Denominators means GCF of 189,310,419 as per the given fractions.

GCF of 189,310,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,774,562

LCM of Fractions 507/189,774/310,562/419 is 36756486

2 507, 774, 562
3 507, 387, 281
169, 129, 281

∴ So the LCM of the given numbers is 2 x 3 x 169 x 129 x 281 = 36756486

Least Common Multiple of 507,774,562 with GCF Formula

Least Common Multiple of 507,774,562 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 507,774,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,774,562) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(507,774,562) x common factors =1 x 6 = 6

LCM(507,774,562) = ( 507 × 774 × 562 ) / 6

LCM(507,774,562) = 220538916 / 6

LCM(507,774,562) = 36756486


Lets's calculate GCF of 189,310,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36756486/1

Therefore the LCM of Fractions 507/189,774/310,562/419 is 36756486

Greatest Common Factor of 189,310,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,310,419 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

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

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 189,310,419 . The biggest common factor number is the GCF number.
So the greatest common factor 189,310,419 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 507/189, 774/310, 562/419

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 507/189, 774/310, 562/419?

Answer: LCM of Numerators as per given numbers 507/189, 774/310, 562/419 is

LCM of Numerators i.e. for 507,774,562 is 36756486

GCF of denominators i.e. for 189,310,419 is 1.

Thus, LCM of Fractions is 36756486.Finally, LCM of Fractions for 507/189, 774/310, 562/419 is 36756486.