Least Common Multiple of 7395/957, 5661/9814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7395/957, 5661/9814 quickly i.e. 820845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7395/957, 5661/9814 is 820845.

LCM(7395/957, 5661/9814) = 820845

LCM of 7395/957, 5661/9814

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 7395/957,5661/9814

Given numbers are 7395/957,5661/9814

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 7395,5661

Least Common Multiple of Numerators i.e. LCM of 7395,5661 is 820845.

GCF of Denominators means GCF of 957,9814 as per the given fractions.

GCF of 957,9814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7395,5661

LCM of Fractions 7395/957,5661/9814 is 820845

3 7395, 5661
17 2465, 1887
145, 111

∴ So the LCM of the given numbers is 3 x 17 x 145 x 111 = 820845

Least Common Multiple of 7395,5661 with GCF Formula

Least Common Multiple of 7395,5661 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 7395,5661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7395,5661) = 51

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

GCF(7395,5661) x common factors =51 x 1 = 51

LCM(7395,5661) = ( 7395 × 5661 ) / 51

LCM(7395,5661) = 41863095 / 51

LCM(7395,5661) = 820845


Lets's calculate GCF of 957,9814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820845/1

Therefore the LCM of Fractions 7395/957,5661/9814 is 820845

Greatest Common Factor of 957,9814 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,9814 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1,2,7,14,701,1402,4907,9814

Greatest Common Factor

We found the factors 957,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 957,9814 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 7395/957, 5661/9814

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 7395/957, 5661/9814?

Answer: LCM of Numerators as per given numbers 7395/957, 5661/9814 is

LCM of Numerators i.e. for 7395,5661 is 820845

GCF of denominators i.e. for 957,9814 is 1.

Thus, LCM of Fractions is 820845.Finally, LCM of Fractions for 7395/957, 5661/9814 is 820845.