Least Common Multiple of 43/148, 269/256, 221/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/148, 269/256, 221/499 quickly i.e. 2556307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/148, 269/256, 221/499 is 2556307.

LCM(43/148, 269/256, 221/499) = 2556307

LCM of 43/148, 269/256, 221/499

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 43/148,269/256,221/499

Given numbers are 43/148,269/256,221/499

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 43,269,221

Least Common Multiple of Numerators i.e. LCM of 43,269,221 is 2556307.

GCF of Denominators means GCF of 148,256,499 as per the given fractions.

GCF of 148,256,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,269,221

LCM of Fractions 43/148,269/256,221/499 is 2556307

Given numbers has no common factors except 1. So, there LCM is their product i.e 2556307

Least Common Multiple of 43,269,221 with GCF Formula

Least Common Multiple of 43,269,221 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 43,269,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,269,221) = 1

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

GCF(43,269,221) x common factors =1 x 1 = 1

LCM(43,269,221) = ( 43 × 269 × 221 ) / 1

LCM(43,269,221) = 2556307 / 1

LCM(43,269,221) = 2556307


Lets's calculate GCF of 148,256,499

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2556307/1

Therefore the LCM of Fractions 43/148,269/256,221/499 is 2556307

Greatest Common Factor of 148,256,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,256,499 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 148,256,499 . The biggest common factor number is the GCF number.
So the greatest common factor 148,256,499 is 1.


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 43/148, 269/256, 221/499

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 43/148, 269/256, 221/499?

Answer: LCM of Numerators as per given numbers 43/148, 269/256, 221/499 is

LCM of Numerators i.e. for 43,269,221 is 2556307

GCF of denominators i.e. for 148,256,499 is 1.

Thus, LCM of Fractions is 2556307.Finally, LCM of Fractions for 43/148, 269/256, 221/499 is 2556307.