Least Common Multiple of 36/751, 914/915, 308/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/751, 914/915, 308/799 quickly i.e. 1266804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/751, 914/915, 308/799 is 1266804.

LCM(36/751, 914/915, 308/799) = 1266804

LCM of 36/751, 914/915, 308/799

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 36/751,914/915,308/799

Given numbers are 36/751,914/915,308/799

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 36,914,308

Least Common Multiple of Numerators i.e. LCM of 36,914,308 is 1266804.

GCF of Denominators means GCF of 751,915,799 as per the given fractions.

GCF of 751,915,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,914,308

LCM of Fractions 36/751,914/915,308/799 is 1266804

2 36, 914, 308
2 18, 457, 154
9, 457, 77

∴ So the LCM of the given numbers is 2 x 2 x 9 x 457 x 77 = 1266804

Least Common Multiple of 36,914,308 with GCF Formula

Least Common Multiple of 36,914,308 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 36,914,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,914,308) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,914,308) x common factors =2 x 4 = 8

LCM(36,914,308) = ( 36 × 914 × 308 ) / 8

LCM(36,914,308) = 10134432 / 8

LCM(36,914,308) = 1266804


Lets's calculate GCF of 751,915,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1266804/1

Therefore the LCM of Fractions 36/751,914/915,308/799 is 1266804

Greatest Common Factor of 751,915,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,915,799 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 751,915,799 . The biggest common factor number is the GCF number.
So the greatest common factor 751,915,799 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 36/751, 914/915, 308/799

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 36/751, 914/915, 308/799?

Answer: LCM of Numerators as per given numbers 36/751, 914/915, 308/799 is

LCM of Numerators i.e. for 36,914,308 is 1266804

GCF of denominators i.e. for 751,915,799 is 1.

Thus, LCM of Fractions is 1266804.Finally, LCM of Fractions for 36/751, 914/915, 308/799 is 1266804.