Least Common Multiple of 187/752, 237/306, 763/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/752, 237/306, 763/720 quickly i.e. 33815397/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/752, 237/306, 763/720 is 33815397/2.

LCM(187/752, 237/306, 763/720) = 33815397/2

LCM of 187/752, 237/306, 763/720

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 187/752,237/306,763/720

Given numbers are 187/752,237/306,763/720

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 187,237,763

Least Common Multiple of Numerators i.e. LCM of 187,237,763 is 33815397.

GCF of Denominators means GCF of 752,306,720 as per the given fractions.

GCF of 752,306,720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,237,763

LCM of Fractions 187/752,237/306,763/720 is 33815397/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 33815397

Least Common Multiple of 187,237,763 with GCF Formula

Least Common Multiple of 187,237,763 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 187,237,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,237,763) = 1

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

GCF(187,237,763) x common factors =1 x 1 = 1

LCM(187,237,763) = ( 187 × 237 × 763 ) / 1

LCM(187,237,763) = 33815397 / 1

LCM(187,237,763) = 33815397


Lets's calculate GCF of 752,306,720

2 752, 306, 720
376, 153, 360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33815397/2

Therefore the LCM of Fractions 187/752,237/306,763/720 is 33815397/2

Greatest Common Factor of 752,306,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,306,720 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 752,306,720 . The biggest common factor number is the GCF number.
So the greatest common factor 752,306,720 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 187/752, 237/306, 763/720

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 187/752, 237/306, 763/720?

Answer: LCM of Numerators as per given numbers 187/752, 237/306, 763/720 is

LCM of Numerators i.e. for 187,237,763 is 33815397

GCF of denominators i.e. for 752,306,720 is 2.

Thus, LCM of Fractions is 33815397/2.Finally, LCM of Fractions for 187/752, 237/306, 763/720 is 33815397/2.