Least Common Multiple of 401/44, 277/28, 302/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/44, 277/28, 302/49 quickly i.e. 33545254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/44, 277/28, 302/49 is 33545254.

LCM(401/44, 277/28, 302/49) = 33545254

LCM of 401/44, 277/28, 302/49

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 401/44,277/28,302/49

Given numbers are 401/44,277/28,302/49

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 401,277,302

Least Common Multiple of Numerators i.e. LCM of 401,277,302 is 33545254.

GCF of Denominators means GCF of 44,28,49 as per the given fractions.

GCF of 44,28,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,277,302

LCM of Fractions 401/44,277/28,302/49 is 33545254

Given numbers has no common factors except 1. So, there LCM is their product i.e 33545254

Least Common Multiple of 401,277,302 with GCF Formula

Least Common Multiple of 401,277,302 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 401,277,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,277,302) = 1

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

GCF(401,277,302) x common factors =1 x 1 = 1

LCM(401,277,302) = ( 401 × 277 × 302 ) / 1

LCM(401,277,302) = 33545254 / 1

LCM(401,277,302) = 33545254


Lets's calculate GCF of 44,28,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33545254/1

Therefore the LCM of Fractions 401/44,277/28,302/49 is 33545254

Greatest Common Factor of 44,28,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,28,49 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 44,28,49 . The biggest common factor number is the GCF number.
So the greatest common factor 44,28,49 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 401/44, 277/28, 302/49

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 401/44, 277/28, 302/49?

Answer: LCM of Numerators as per given numbers 401/44, 277/28, 302/49 is

LCM of Numerators i.e. for 401,277,302 is 33545254

GCF of denominators i.e. for 44,28,49 is 1.

Thus, LCM of Fractions is 33545254.Finally, LCM of Fractions for 401/44, 277/28, 302/49 is 33545254.