Least Common Multiple of 3454/12, 4902/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3454/12, 4902/441 quickly i.e. 2821918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3454/12, 4902/441 is 2821918.

LCM(3454/12, 4902/441) = 2821918

LCM of 3454/12, 4902/441

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 3454/12,4902/441

Given numbers are 3454/12,4902/441

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 3454,4902

Least Common Multiple of Numerators i.e. LCM of 3454,4902 is 8465754.

GCF of Denominators means GCF of 12,441 as per the given fractions.

GCF of 12,441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3454,4902

LCM of Fractions 3454/12,4902/441 is 2821918

2 3454, 4902
1727, 2451

∴ So the LCM of the given numbers is 2 x 1727 x 2451 = 8465754

Least Common Multiple of 3454,4902 with GCF Formula

Least Common Multiple of 3454,4902 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 3454,4902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3454,4902) = 2

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

GCF(3454,4902) x common factors =2 x 1 = 2

LCM(3454,4902) = ( 3454 × 4902 ) / 2

LCM(3454,4902) = 16931508 / 2

LCM(3454,4902) = 8465754


Lets's calculate GCF of 12,441

3 12, 441
4, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8465754/3

Therefore the LCM of Fractions 3454/12,4902/441 is 2821918

Greatest Common Factor of 12,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,441 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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

Greatest Common Factor

We found the factors 12,441 . The biggest common factor number is the GCF number.
So the greatest common factor 12,441 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 3454/12, 4902/441

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 3454/12, 4902/441?

Answer: LCM of Numerators as per given numbers 3454/12, 4902/441 is

LCM of Numerators i.e. for 3454,4902 is 8465754

GCF of denominators i.e. for 12,441 is 3.

Thus, LCM of Fractions is 2821918.Finally, LCM of Fractions for 3454/12, 4902/441 is 2821918.