Least Common Multiple of 699/74, 371/28, 499/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/74, 371/28, 499/759 quickly i.e. 129405171 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/74, 371/28, 499/759 is 129405171.

LCM(699/74, 371/28, 499/759) = 129405171

LCM of 699/74, 371/28, 499/759

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 699/74,371/28,499/759

Given numbers are 699/74,371/28,499/759

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 699,371,499

Least Common Multiple of Numerators i.e. LCM of 699,371,499 is 129405171.

GCF of Denominators means GCF of 74,28,759 as per the given fractions.

GCF of 74,28,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,371,499

LCM of Fractions 699/74,371/28,499/759 is 129405171

Given numbers has no common factors except 1. So, there LCM is their product i.e 129405171

Least Common Multiple of 699,371,499 with GCF Formula

Least Common Multiple of 699,371,499 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 699,371,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,371,499) = 1

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

GCF(699,371,499) x common factors =1 x 1 = 1

LCM(699,371,499) = ( 699 × 371 × 499 ) / 1

LCM(699,371,499) = 129405171 / 1

LCM(699,371,499) = 129405171


Lets's calculate GCF of 74,28,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129405171/1

Therefore the LCM of Fractions 699/74,371/28,499/759 is 129405171

Greatest Common Factor of 74,28,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,28,759 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 74,28,759 . The biggest common factor number is the GCF number.
So the greatest common factor 74,28,759 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 699/74, 371/28, 499/759

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 699/74, 371/28, 499/759?

Answer: LCM of Numerators as per given numbers 699/74, 371/28, 499/759 is

LCM of Numerators i.e. for 699,371,499 is 129405171

GCF of denominators i.e. for 74,28,759 is 1.

Thus, LCM of Fractions is 129405171.Finally, LCM of Fractions for 699/74, 371/28, 499/759 is 129405171.