Least Common Multiple of 35/697, 429/789, 397/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/697, 429/789, 397/538 quickly i.e. 5960955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/697, 429/789, 397/538 is 5960955.

LCM(35/697, 429/789, 397/538) = 5960955

LCM of 35/697, 429/789, 397/538

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 35/697,429/789,397/538

Given numbers are 35/697,429/789,397/538

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 35,429,397

Least Common Multiple of Numerators i.e. LCM of 35,429,397 is 5960955.

GCF of Denominators means GCF of 697,789,538 as per the given fractions.

GCF of 697,789,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,429,397

LCM of Fractions 35/697,429/789,397/538 is 5960955

Given numbers has no common factors except 1. So, there LCM is their product i.e 5960955

Least Common Multiple of 35,429,397 with GCF Formula

Least Common Multiple of 35,429,397 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 35,429,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,429,397) = 1

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

GCF(35,429,397) x common factors =1 x 1 = 1

LCM(35,429,397) = ( 35 × 429 × 397 ) / 1

LCM(35,429,397) = 5960955 / 1

LCM(35,429,397) = 5960955


Lets's calculate GCF of 697,789,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5960955/1

Therefore the LCM of Fractions 35/697,429/789,397/538 is 5960955

Greatest Common Factor of 697,789,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,789,538 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 697,789,538 . The biggest common factor number is the GCF number.
So the greatest common factor 697,789,538 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 35/697, 429/789, 397/538

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 35/697, 429/789, 397/538?

Answer: LCM of Numerators as per given numbers 35/697, 429/789, 397/538 is

LCM of Numerators i.e. for 35,429,397 is 5960955

GCF of denominators i.e. for 697,789,538 is 1.

Thus, LCM of Fractions is 5960955.Finally, LCM of Fractions for 35/697, 429/789, 397/538 is 5960955.