Least Common Multiple of 4877/170, 6865/4690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4877/170, 6865/4690 quickly i.e. 33480605/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4877/170, 6865/4690 is 33480605/10.

LCM(4877/170, 6865/4690) = 33480605/10

LCM of 4877/170, 6865/4690

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 4877/170,6865/4690

Given numbers are 4877/170,6865/4690

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 4877,6865

Least Common Multiple of Numerators i.e. LCM of 4877,6865 is 33480605.

GCF of Denominators means GCF of 170,4690 as per the given fractions.

GCF of 170,4690 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4877,6865

LCM of Fractions 4877/170,6865/4690 is 33480605/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 33480605

Least Common Multiple of 4877,6865 with GCF Formula

Least Common Multiple of 4877,6865 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 4877,6865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4877,6865) = 1

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

GCF(4877,6865) x common factors =1 x 1 = 1

LCM(4877,6865) = ( 4877 × 6865 ) / 1

LCM(4877,6865) = 33480605 / 1

LCM(4877,6865) = 33480605


Lets's calculate GCF of 170,4690

2 170, 4690
5 85, 2345
17, 469

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33480605/10

Therefore the LCM of Fractions 4877/170,6865/4690 is 33480605/10

Greatest Common Factor of 170,4690 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,4690 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Greatest Common Factor

We found the factors 170,4690 . The biggest common factor number is the GCF number.
So the greatest common factor 170,4690 is 10.


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 4877/170, 6865/4690

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 4877/170, 6865/4690?

Answer: LCM of Numerators as per given numbers 4877/170, 6865/4690 is

LCM of Numerators i.e. for 4877,6865 is 33480605

GCF of denominators i.e. for 170,4690 is 10.

Thus, LCM of Fractions is 33480605/10.Finally, LCM of Fractions for 4877/170, 6865/4690 is 33480605/10.