Least Common Multiple of 96/713, 770/149, 704/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/713, 770/149, 704/999 quickly i.e. 73920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/713, 770/149, 704/999 is 73920.

LCM(96/713, 770/149, 704/999) = 73920

LCM of 96/713, 770/149, 704/999

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 96/713,770/149,704/999

Given numbers are 96/713,770/149,704/999

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 96,770,704

Least Common Multiple of Numerators i.e. LCM of 96,770,704 is 73920.

GCF of Denominators means GCF of 713,149,999 as per the given fractions.

GCF of 713,149,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,770,704

LCM of Fractions 96/713,770/149,704/999 is 73920

2 96, 770, 704
2 48, 385, 352
2 24, 385, 176
2 12, 385, 88
2 6, 385, 44
11 3, 385, 22
3, 35, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 3 x 35 x 2 = 73920

Least Common Multiple of 96,770,704 with GCF Formula

Least Common Multiple of 96,770,704 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 96,770,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,770,704) = 2

common factors(in case of two or more numbers have common factors) = 352

GCF(96,770,704) x common factors =2 x 352 = 704

LCM(96,770,704) = ( 96 × 770 × 704 ) / 704

LCM(96,770,704) = 52039680 / 704

LCM(96,770,704) = 73920


Lets's calculate GCF of 713,149,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73920/1

Therefore the LCM of Fractions 96/713,770/149,704/999 is 73920

Greatest Common Factor of 713,149,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,149,999 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 713,149,999 . The biggest common factor number is the GCF number.
So the greatest common factor 713,149,999 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 96/713, 770/149, 704/999

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 96/713, 770/149, 704/999?

Answer: LCM of Numerators as per given numbers 96/713, 770/149, 704/999 is

LCM of Numerators i.e. for 96,770,704 is 73920

GCF of denominators i.e. for 713,149,999 is 1.

Thus, LCM of Fractions is 73920.Finally, LCM of Fractions for 96/713, 770/149, 704/999 is 73920.