Least Common Multiple of 65/392, 4145/9876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/392, 4145/9876 quickly i.e. 53885/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/392, 4145/9876 is 53885/4.

LCM(65/392, 4145/9876) = 53885/4

LCM of 65/392, 4145/9876

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 65/392,4145/9876

Given numbers are 65/392,4145/9876

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 65,4145

Least Common Multiple of Numerators i.e. LCM of 65,4145 is 53885.

GCF of Denominators means GCF of 392,9876 as per the given fractions.

GCF of 392,9876 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,4145

LCM of Fractions 65/392,4145/9876 is 53885/4

5 65, 4145
13, 829

∴ So the LCM of the given numbers is 5 x 13 x 829 = 53885

Least Common Multiple of 65,4145 with GCF Formula

Least Common Multiple of 65,4145 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 65,4145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,4145) = 5

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

GCF(65,4145) x common factors =5 x 1 = 5

LCM(65,4145) = ( 65 × 4145 ) / 5

LCM(65,4145) = 269425 / 5

LCM(65,4145) = 53885


Lets's calculate GCF of 392,9876

2 392, 9876
2 196, 4938
98, 2469

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53885/4

Therefore the LCM of Fractions 65/392,4145/9876 is 53885/4

Greatest Common Factor of 392,9876 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,9876 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Greatest Common Factor

We found the factors 392,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 392,9876 is 4.


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 65/392, 4145/9876

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 65/392, 4145/9876?

Answer: LCM of Numerators as per given numbers 65/392, 4145/9876 is

LCM of Numerators i.e. for 65,4145 is 53885

GCF of denominators i.e. for 392,9876 is 4.

Thus, LCM of Fractions is 53885/4.Finally, LCM of Fractions for 65/392, 4145/9876 is 53885/4.