Least Common Multiple of 2489/551, 3117/5626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2489/551, 3117/5626 quickly i.e. 7758213/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2489/551, 3117/5626 is 7758213/29.

LCM(2489/551, 3117/5626) = 7758213/29

LCM of 2489/551, 3117/5626

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 2489/551,3117/5626

Given numbers are 2489/551,3117/5626

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 2489,3117

Least Common Multiple of Numerators i.e. LCM of 2489,3117 is 7758213.

GCF of Denominators means GCF of 551,5626 as per the given fractions.

GCF of 551,5626 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2489,3117

LCM of Fractions 2489/551,3117/5626 is 7758213/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 7758213

Least Common Multiple of 2489,3117 with GCF Formula

Least Common Multiple of 2489,3117 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 2489,3117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2489,3117) = 1

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

GCF(2489,3117) x common factors =1 x 1 = 1

LCM(2489,3117) = ( 2489 × 3117 ) / 1

LCM(2489,3117) = 7758213 / 1

LCM(2489,3117) = 7758213


Lets's calculate GCF of 551,5626

29 551, 5626
19, 194

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7758213/29

Therefore the LCM of Fractions 2489/551,3117/5626 is 7758213/29

Greatest Common Factor of 551,5626 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,5626 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 5626

List of positive integer factors of 5626 that divides 5626 without a remainder.

1,2,29,58,97,194,2813,5626

Greatest Common Factor

We found the factors 551,5626 . The biggest common factor number is the GCF number.
So the greatest common factor 551,5626 is 29.


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 2489/551, 3117/5626

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 2489/551, 3117/5626?

Answer: LCM of Numerators as per given numbers 2489/551, 3117/5626 is

LCM of Numerators i.e. for 2489,3117 is 7758213

GCF of denominators i.e. for 551,5626 is 29.

Thus, LCM of Fractions is 7758213/29.Finally, LCM of Fractions for 2489/551, 3117/5626 is 7758213/29.