Least Common Multiple of 1283/147, 4628/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1283/147, 4628/441 quickly i.e. 5937724/147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1283/147, 4628/441 is 5937724/147.

LCM(1283/147, 4628/441) = 5937724/147

LCM of 1283/147, 4628/441

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 1283/147,4628/441

Given numbers are 1283/147,4628/441

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 1283,4628

Least Common Multiple of Numerators i.e. LCM of 1283,4628 is 5937724.

GCF of Denominators means GCF of 147,441 as per the given fractions.

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

Lets's calculate LCM of 1283,4628

LCM of Fractions 1283/147,4628/441 is 5937724/147

Given numbers has no common factors except 1. So, there LCM is their product i.e 5937724

Least Common Multiple of 1283,4628 with GCF Formula

Least Common Multiple of 1283,4628 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 1283,4628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1283,4628) = 1

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

GCF(1283,4628) x common factors =1 x 1 = 1

LCM(1283,4628) = ( 1283 × 4628 ) / 1

LCM(1283,4628) = 5937724 / 1

LCM(1283,4628) = 5937724


Lets's calculate GCF of 147,441

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

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5937724/147

Therefore the LCM of Fractions 1283/147,4628/441 is 5937724/147

Greatest Common Factor of 147,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,441 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

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 147,441 . The biggest common factor number is the GCF number.
So the greatest common factor 147,441 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 1283/147, 4628/441

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 1283/147, 4628/441?

Answer: LCM of Numerators as per given numbers 1283/147, 4628/441 is

LCM of Numerators i.e. for 1283,4628 is 5937724

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

Thus, LCM of Fractions is 5937724/147.Finally, LCM of Fractions for 1283/147, 4628/441 is 5937724/147.