Least Common Multiple of 283/77, 437/4521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/77, 437/4521 quickly i.e. 123671/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/77, 437/4521 is 123671/11.

LCM(283/77, 437/4521) = 123671/11

LCM of 283/77, 437/4521

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 283/77,437/4521

Given numbers are 283/77,437/4521

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 283,437

Least Common Multiple of Numerators i.e. LCM of 283,437 is 123671.

GCF of Denominators means GCF of 77,4521 as per the given fractions.

GCF of 77,4521 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,437

LCM of Fractions 283/77,437/4521 is 123671/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 123671

Least Common Multiple of 283,437 with GCF Formula

Least Common Multiple of 283,437 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 283,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,437) = 1

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

GCF(283,437) x common factors =1 x 1 = 1

LCM(283,437) = ( 283 × 437 ) / 1

LCM(283,437) = 123671 / 1

LCM(283,437) = 123671


Lets's calculate GCF of 77,4521

11 77, 4521
7, 411

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123671/11

Therefore the LCM of Fractions 283/77,437/4521 is 123671/11

Greatest Common Factor of 77,4521 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,4521 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 4521

List of positive integer factors of 4521 that divides 4521 without a remainder.

1,3,11,33,137,411,1507,4521

Greatest Common Factor

We found the factors 77,4521 . The biggest common factor number is the GCF number.
So the greatest common factor 77,4521 is 11.


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 283/77, 437/4521

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 283/77, 437/4521?

Answer: LCM of Numerators as per given numbers 283/77, 437/4521 is

LCM of Numerators i.e. for 283,437 is 123671

GCF of denominators i.e. for 77,4521 is 11.

Thus, LCM of Fractions is 123671/11.Finally, LCM of Fractions for 283/77, 437/4521 is 123671/11.