Least Common Multiple of 246/441, 9677/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/441, 9677/735 quickly i.e. 2380542/147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/441, 9677/735 is 2380542/147.

LCM(246/441, 9677/735) = 2380542/147

LCM of 246/441, 9677/735

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 246/441,9677/735

Given numbers are 246/441,9677/735

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 246,9677

Least Common Multiple of Numerators i.e. LCM of 246,9677 is 2380542.

GCF of Denominators means GCF of 441,735 as per the given fractions.

GCF of 441,735 is 147 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,9677

LCM of Fractions 246/441,9677/735 is 2380542/147

Given numbers has no common factors except 1. So, there LCM is their product i.e 2380542

Least Common Multiple of 246,9677 with GCF Formula

Least Common Multiple of 246,9677 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 246,9677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,9677) = 1

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

GCF(246,9677) x common factors =1 x 1 = 1

LCM(246,9677) = ( 246 × 9677 ) / 1

LCM(246,9677) = 2380542 / 1

LCM(246,9677) = 2380542


Lets's calculate GCF of 441,735

3 441, 735
7 147, 245
7 21, 35
3, 5

∴ So the GCF of the given numbers is 3 x 7 x 7 = 147

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2380542/147

Therefore the LCM of Fractions 246/441,9677/735 is 2380542/147

Greatest Common Factor of 441,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,735 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 441,735 . The biggest common factor number is the GCF number.
So the greatest common factor 441,735 is 147.


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 246/441, 9677/735

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 246/441, 9677/735?

Answer: LCM of Numerators as per given numbers 246/441, 9677/735 is

LCM of Numerators i.e. for 246,9677 is 2380542

GCF of denominators i.e. for 441,735 is 147.

Thus, LCM of Fractions is 2380542/147.Finally, LCM of Fractions for 246/441, 9677/735 is 2380542/147.