Least Common Multiple of 289/962, 1744/5554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/962, 1744/5554 quickly i.e. 252008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/962, 1744/5554 is 252008.

LCM(289/962, 1744/5554) = 252008

LCM of 289/962, 1744/5554

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 289/962,1744/5554

Given numbers are 289/962,1744/5554

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 289,1744

Least Common Multiple of Numerators i.e. LCM of 289,1744 is 504016.

GCF of Denominators means GCF of 962,5554 as per the given fractions.

GCF of 962,5554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,1744

LCM of Fractions 289/962,1744/5554 is 252008

Given numbers has no common factors except 1. So, there LCM is their product i.e 504016

Least Common Multiple of 289,1744 with GCF Formula

Least Common Multiple of 289,1744 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 289,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,1744) = 1

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

GCF(289,1744) x common factors =1 x 1 = 1

LCM(289,1744) = ( 289 × 1744 ) / 1

LCM(289,1744) = 504016 / 1

LCM(289,1744) = 504016


Lets's calculate GCF of 962,5554

2 962, 5554
481, 2777

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504016/2

Therefore the LCM of Fractions 289/962,1744/5554 is 252008

Greatest Common Factor of 962,5554 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,5554 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 5554

List of positive integer factors of 5554 that divides 5554 without a remainder.

1,2,2777,5554

Greatest Common Factor

We found the factors 962,5554 . The biggest common factor number is the GCF number.
So the greatest common factor 962,5554 is 2.


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 289/962, 1744/5554

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 289/962, 1744/5554?

Answer: LCM of Numerators as per given numbers 289/962, 1744/5554 is

LCM of Numerators i.e. for 289,1744 is 504016

GCF of denominators i.e. for 962,5554 is 2.

Thus, LCM of Fractions is 252008.Finally, LCM of Fractions for 289/962, 1744/5554 is 252008.