Least Common Multiple of 5574/274, 4117/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5574/274, 4117/274 quickly i.e. 22948158/274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5574/274, 4117/274 is 22948158/274.

LCM(5574/274, 4117/274) = 22948158/274

LCM of 5574/274, 4117/274

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 5574/274,4117/274

Given numbers are 5574/274,4117/274

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 5574,4117

Least Common Multiple of Numerators i.e. LCM of 5574,4117 is 22948158.

GCF of Denominators means GCF of 274,274 as per the given fractions.

GCF of 274,274 is 274 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5574,4117

LCM of Fractions 5574/274,4117/274 is 22948158/274

Given numbers has no common factors except 1. So, there LCM is their product i.e 22948158

Least Common Multiple of 5574,4117 with GCF Formula

Least Common Multiple of 5574,4117 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 5574,4117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5574,4117) = 1

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

GCF(5574,4117) x common factors =1 x 1 = 1

LCM(5574,4117) = ( 5574 × 4117 ) / 1

LCM(5574,4117) = 22948158 / 1

LCM(5574,4117) = 22948158


Lets's calculate GCF of 274,274

2 274, 274
137 137, 137
1, 1

∴ So the GCF of the given numbers is 2 x 137 = 274

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22948158/274

Therefore the LCM of Fractions 5574/274,4117/274 is 22948158/274

Greatest Common Factor of 274,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,274 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 274,274 . The biggest common factor number is the GCF number.
So the greatest common factor 274,274 is 274.


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 5574/274, 4117/274

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 5574/274, 4117/274?

Answer: LCM of Numerators as per given numbers 5574/274, 4117/274 is

LCM of Numerators i.e. for 5574,4117 is 22948158

GCF of denominators i.e. for 274,274 is 274.

Thus, LCM of Fractions is 22948158/274.Finally, LCM of Fractions for 5574/274, 4117/274 is 22948158/274.