Least Common Multiple of 709/85, 622/97, 602/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/85, 622/97, 602/400 quickly i.e. 132740398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/85, 622/97, 602/400 is 132740398.

LCM(709/85, 622/97, 602/400) = 132740398

LCM of 709/85, 622/97, 602/400

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 709/85,622/97,602/400

Given numbers are 709/85,622/97,602/400

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 709,622,602

Least Common Multiple of Numerators i.e. LCM of 709,622,602 is 132740398.

GCF of Denominators means GCF of 85,97,400 as per the given fractions.

GCF of 85,97,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,622,602

LCM of Fractions 709/85,622/97,602/400 is 132740398

2 709, 622, 602
709, 311, 301

∴ So the LCM of the given numbers is 2 x 709 x 311 x 301 = 132740398

Least Common Multiple of 709,622,602 with GCF Formula

Least Common Multiple of 709,622,602 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 709,622,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,622,602) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(709,622,602) x common factors =1 x 2 = 2

LCM(709,622,602) = ( 709 × 622 × 602 ) / 2

LCM(709,622,602) = 265480796 / 2

LCM(709,622,602) = 132740398


Lets's calculate GCF of 85,97,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132740398/1

Therefore the LCM of Fractions 709/85,622/97,602/400 is 132740398

Greatest Common Factor of 85,97,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,97,400 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 85,97,400 . The biggest common factor number is the GCF number.
So the greatest common factor 85,97,400 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 709/85, 622/97, 602/400

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 709/85, 622/97, 602/400?

Answer: LCM of Numerators as per given numbers 709/85, 622/97, 602/400 is

LCM of Numerators i.e. for 709,622,602 is 132740398

GCF of denominators i.e. for 85,97,400 is 1.

Thus, LCM of Fractions is 132740398.Finally, LCM of Fractions for 709/85, 622/97, 602/400 is 132740398.