Least Common Multiple of 3177/147, 5460/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3177/147, 5460/690 quickly i.e. 1927380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3177/147, 5460/690 is 1927380.

LCM(3177/147, 5460/690) = 1927380

LCM of 3177/147, 5460/690

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 3177/147,5460/690

Given numbers are 3177/147,5460/690

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 3177,5460

Least Common Multiple of Numerators i.e. LCM of 3177,5460 is 5782140.

GCF of Denominators means GCF of 147,690 as per the given fractions.

GCF of 147,690 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3177,5460

LCM of Fractions 3177/147,5460/690 is 1927380

3 3177, 5460
1059, 1820

∴ So the LCM of the given numbers is 3 x 1059 x 1820 = 5782140

Least Common Multiple of 3177,5460 with GCF Formula

Least Common Multiple of 3177,5460 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 3177,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3177,5460) = 3

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

GCF(3177,5460) x common factors =3 x 1 = 3

LCM(3177,5460) = ( 3177 × 5460 ) / 3

LCM(3177,5460) = 17346420 / 3

LCM(3177,5460) = 5782140


Lets's calculate GCF of 147,690

3 147, 690
49, 230

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5782140/3

Therefore the LCM of Fractions 3177/147,5460/690 is 1927380

Greatest Common Factor of 147,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,690 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 147,690 . The biggest common factor number is the GCF number.
So the greatest common factor 147,690 is 3.


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 3177/147, 5460/690

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 3177/147, 5460/690?

Answer: LCM of Numerators as per given numbers 3177/147, 5460/690 is

LCM of Numerators i.e. for 3177,5460 is 5782140

GCF of denominators i.e. for 147,690 is 3.

Thus, LCM of Fractions is 1927380.Finally, LCM of Fractions for 3177/147, 5460/690 is 1927380.