Least Common Multiple of 49/251, 3554/7337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/251, 3554/7337 quickly i.e. 174146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/251, 3554/7337 is 174146.

LCM(49/251, 3554/7337) = 174146

LCM of 49/251, 3554/7337

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 49/251,3554/7337

Given numbers are 49/251,3554/7337

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 49,3554

Least Common Multiple of Numerators i.e. LCM of 49,3554 is 174146.

GCF of Denominators means GCF of 251,7337 as per the given fractions.

GCF of 251,7337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,3554

LCM of Fractions 49/251,3554/7337 is 174146

Given numbers has no common factors except 1. So, there LCM is their product i.e 174146

Least Common Multiple of 49,3554 with GCF Formula

Least Common Multiple of 49,3554 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 49,3554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,3554) = 1

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

GCF(49,3554) x common factors =1 x 1 = 1

LCM(49,3554) = ( 49 × 3554 ) / 1

LCM(49,3554) = 174146 / 1

LCM(49,3554) = 174146


Lets's calculate GCF of 251,7337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174146/1

Therefore the LCM of Fractions 49/251,3554/7337 is 174146

Greatest Common Factor of 251,7337 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,7337 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1,11,23,29,253,319,667,7337

Greatest Common Factor

We found the factors 251,7337 . The biggest common factor number is the GCF number.
So the greatest common factor 251,7337 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/251, 3554/7337

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 49/251, 3554/7337?

Answer: LCM of Numerators as per given numbers 49/251, 3554/7337 is

LCM of Numerators i.e. for 49,3554 is 174146

GCF of denominators i.e. for 251,7337 is 1.

Thus, LCM of Fractions is 174146.Finally, LCM of Fractions for 49/251, 3554/7337 is 174146.