Least Common Multiple of 1544/139, 2217/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1544/139, 2217/689 quickly i.e. 3423048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1544/139, 2217/689 is 3423048.

LCM(1544/139, 2217/689) = 3423048

LCM of 1544/139, 2217/689

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 1544/139,2217/689

Given numbers are 1544/139,2217/689

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 1544,2217

Least Common Multiple of Numerators i.e. LCM of 1544,2217 is 3423048.

GCF of Denominators means GCF of 139,689 as per the given fractions.

GCF of 139,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1544,2217

LCM of Fractions 1544/139,2217/689 is 3423048

Given numbers has no common factors except 1. So, there LCM is their product i.e 3423048

Least Common Multiple of 1544,2217 with GCF Formula

Least Common Multiple of 1544,2217 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 1544,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1544,2217) = 1

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

GCF(1544,2217) x common factors =1 x 1 = 1

LCM(1544,2217) = ( 1544 × 2217 ) / 1

LCM(1544,2217) = 3423048 / 1

LCM(1544,2217) = 3423048


Lets's calculate GCF of 139,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3423048/1

Therefore the LCM of Fractions 1544/139,2217/689 is 3423048

Greatest Common Factor of 139,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,689 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 139,689 . The biggest common factor number is the GCF number.
So the greatest common factor 139,689 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 1544/139, 2217/689

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 1544/139, 2217/689?

Answer: LCM of Numerators as per given numbers 1544/139, 2217/689 is

LCM of Numerators i.e. for 1544,2217 is 3423048

GCF of denominators i.e. for 139,689 is 1.

Thus, LCM of Fractions is 3423048.Finally, LCM of Fractions for 1544/139, 2217/689 is 3423048.