Least Common Multiple of 65/894, 7535/4849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/894, 7535/4849 quickly i.e. 97955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/894, 7535/4849 is 97955.

LCM(65/894, 7535/4849) = 97955

LCM of 65/894, 7535/4849

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 65/894,7535/4849

Given numbers are 65/894,7535/4849

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 65,7535

Least Common Multiple of Numerators i.e. LCM of 65,7535 is 97955.

GCF of Denominators means GCF of 894,4849 as per the given fractions.

GCF of 894,4849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,7535

LCM of Fractions 65/894,7535/4849 is 97955

5 65, 7535
13, 1507

∴ So the LCM of the given numbers is 5 x 13 x 1507 = 97955

Least Common Multiple of 65,7535 with GCF Formula

Least Common Multiple of 65,7535 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 65,7535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,7535) = 5

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

GCF(65,7535) x common factors =5 x 1 = 5

LCM(65,7535) = ( 65 × 7535 ) / 5

LCM(65,7535) = 489775 / 5

LCM(65,7535) = 97955


Lets's calculate GCF of 894,4849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97955/1

Therefore the LCM of Fractions 65/894,7535/4849 is 97955

Greatest Common Factor of 894,4849 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,4849 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 4849

List of positive integer factors of 4849 that divides 4849 without a remainder.

1,13,373,4849

Greatest Common Factor

We found the factors 894,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 894,4849 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/894, 7535/4849

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 65/894, 7535/4849?

Answer: LCM of Numerators as per given numbers 65/894, 7535/4849 is

LCM of Numerators i.e. for 65,7535 is 97955

GCF of denominators i.e. for 894,4849 is 1.

Thus, LCM of Fractions is 97955.Finally, LCM of Fractions for 65/894, 7535/4849 is 97955.