Least Common Multiple of 61/141, 1157/9405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/141, 1157/9405 quickly i.e. 70577/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/141, 1157/9405 is 70577/3.

LCM(61/141, 1157/9405) = 70577/3

LCM of 61/141, 1157/9405

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 61/141,1157/9405

Given numbers are 61/141,1157/9405

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 61,1157

Least Common Multiple of Numerators i.e. LCM of 61,1157 is 70577.

GCF of Denominators means GCF of 141,9405 as per the given fractions.

GCF of 141,9405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,1157

LCM of Fractions 61/141,1157/9405 is 70577/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 70577

Least Common Multiple of 61,1157 with GCF Formula

Least Common Multiple of 61,1157 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 61,1157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,1157) = 1

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

GCF(61,1157) x common factors =1 x 1 = 1

LCM(61,1157) = ( 61 × 1157 ) / 1

LCM(61,1157) = 70577 / 1

LCM(61,1157) = 70577


Lets's calculate GCF of 141,9405

3 141, 9405
47, 3135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70577/3

Therefore the LCM of Fractions 61/141,1157/9405 is 70577/3

Greatest Common Factor of 141,9405 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,9405 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 9405

List of positive integer factors of 9405 that divides 9405 without a remainder.

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Greatest Common Factor

We found the factors 141,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 141,9405 is 3.


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 61/141, 1157/9405

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 61/141, 1157/9405?

Answer: LCM of Numerators as per given numbers 61/141, 1157/9405 is

LCM of Numerators i.e. for 61,1157 is 70577

GCF of denominators i.e. for 141,9405 is 3.

Thus, LCM of Fractions is 70577/3.Finally, LCM of Fractions for 61/141, 1157/9405 is 70577/3.