Least Common Multiple of 701/818, 649/849, 759/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/818, 649/849, 759/577 quickly i.e. 31391481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/818, 649/849, 759/577 is 31391481.

LCM(701/818, 649/849, 759/577) = 31391481

LCM of 701/818, 649/849, 759/577

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 701/818,649/849,759/577

Given numbers are 701/818,649/849,759/577

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 701,649,759

Least Common Multiple of Numerators i.e. LCM of 701,649,759 is 31391481.

GCF of Denominators means GCF of 818,849,577 as per the given fractions.

GCF of 818,849,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,649,759

LCM of Fractions 701/818,649/849,759/577 is 31391481

11 701, 649, 759
701, 59, 69

∴ So the LCM of the given numbers is 11 x 701 x 59 x 69 = 31391481

Least Common Multiple of 701,649,759 with GCF Formula

Least Common Multiple of 701,649,759 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 701,649,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,649,759) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(701,649,759) x common factors =1 x 11 = 11

LCM(701,649,759) = ( 701 × 649 × 759 ) / 11

LCM(701,649,759) = 345306291 / 11

LCM(701,649,759) = 31391481


Lets's calculate GCF of 818,849,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31391481/1

Therefore the LCM of Fractions 701/818,649/849,759/577 is 31391481

Greatest Common Factor of 818,849,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,849,577 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 818,849,577 . The biggest common factor number is the GCF number.
So the greatest common factor 818,849,577 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 701/818, 649/849, 759/577

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 701/818, 649/849, 759/577?

Answer: LCM of Numerators as per given numbers 701/818, 649/849, 759/577 is

LCM of Numerators i.e. for 701,649,759 is 31391481

GCF of denominators i.e. for 818,849,577 is 1.

Thus, LCM of Fractions is 31391481.Finally, LCM of Fractions for 701/818, 649/849, 759/577 is 31391481.