Least Common Multiple of 749/144, 5132/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/144, 5132/697 quickly i.e. 3843868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/144, 5132/697 is 3843868.

LCM(749/144, 5132/697) = 3843868

LCM of 749/144, 5132/697

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 749/144,5132/697

Given numbers are 749/144,5132/697

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 749,5132

Least Common Multiple of Numerators i.e. LCM of 749,5132 is 3843868.

GCF of Denominators means GCF of 144,697 as per the given fractions.

GCF of 144,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,5132

LCM of Fractions 749/144,5132/697 is 3843868

Given numbers has no common factors except 1. So, there LCM is their product i.e 3843868

Least Common Multiple of 749,5132 with GCF Formula

Least Common Multiple of 749,5132 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 749,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,5132) = 1

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

GCF(749,5132) x common factors =1 x 1 = 1

LCM(749,5132) = ( 749 × 5132 ) / 1

LCM(749,5132) = 3843868 / 1

LCM(749,5132) = 3843868


Lets's calculate GCF of 144,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3843868/1

Therefore the LCM of Fractions 749/144,5132/697 is 3843868

Greatest Common Factor of 144,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,697 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 144,697 . The biggest common factor number is the GCF number.
So the greatest common factor 144,697 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 749/144, 5132/697

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 749/144, 5132/697?

Answer: LCM of Numerators as per given numbers 749/144, 5132/697 is

LCM of Numerators i.e. for 749,5132 is 3843868

GCF of denominators i.e. for 144,697 is 1.

Thus, LCM of Fractions is 3843868.Finally, LCM of Fractions for 749/144, 5132/697 is 3843868.