Least Common Multiple of 54/985, 65/242, 410/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/985, 65/242, 410/808 quickly i.e. 143910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/985, 65/242, 410/808 is 143910.

LCM(54/985, 65/242, 410/808) = 143910

LCM of 54/985, 65/242, 410/808

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 54/985,65/242,410/808

Given numbers are 54/985,65/242,410/808

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 54,65,410

Least Common Multiple of Numerators i.e. LCM of 54,65,410 is 143910.

GCF of Denominators means GCF of 985,242,808 as per the given fractions.

GCF of 985,242,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,65,410

LCM of Fractions 54/985,65/242,410/808 is 143910

2 54, 65, 410
5 27, 65, 205
27, 13, 41

∴ So the LCM of the given numbers is 2 x 5 x 27 x 13 x 41 = 143910

Least Common Multiple of 54,65,410 with GCF Formula

Least Common Multiple of 54,65,410 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 54,65,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,65,410) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(54,65,410) x common factors =1 x 10 = 10

LCM(54,65,410) = ( 54 × 65 × 410 ) / 10

LCM(54,65,410) = 1439100 / 10

LCM(54,65,410) = 143910


Lets's calculate GCF of 985,242,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143910/1

Therefore the LCM of Fractions 54/985,65/242,410/808 is 143910

Greatest Common Factor of 985,242,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,242,808 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 985,242,808 . The biggest common factor number is the GCF number.
So the greatest common factor 985,242,808 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 54/985, 65/242, 410/808

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 54/985, 65/242, 410/808?

Answer: LCM of Numerators as per given numbers 54/985, 65/242, 410/808 is

LCM of Numerators i.e. for 54,65,410 is 143910

GCF of denominators i.e. for 985,242,808 is 1.

Thus, LCM of Fractions is 143910.Finally, LCM of Fractions for 54/985, 65/242, 410/808 is 143910.