Least Common Multiple of 69/735, 866/70, 522/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/735, 866/70, 522/897 quickly i.e. 5198598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/735, 866/70, 522/897 is 5198598.

LCM(69/735, 866/70, 522/897) = 5198598

LCM of 69/735, 866/70, 522/897

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 69/735,866/70,522/897

Given numbers are 69/735,866/70,522/897

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 69,866,522

Least Common Multiple of Numerators i.e. LCM of 69,866,522 is 5198598.

GCF of Denominators means GCF of 735,70,897 as per the given fractions.

GCF of 735,70,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,866,522

LCM of Fractions 69/735,866/70,522/897 is 5198598

2 69, 866, 522
3 69, 433, 261
23, 433, 87

∴ So the LCM of the given numbers is 2 x 3 x 23 x 433 x 87 = 5198598

Least Common Multiple of 69,866,522 with GCF Formula

Least Common Multiple of 69,866,522 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 69,866,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,866,522) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,866,522) x common factors =1 x 6 = 6

LCM(69,866,522) = ( 69 × 866 × 522 ) / 6

LCM(69,866,522) = 31191588 / 6

LCM(69,866,522) = 5198598


Lets's calculate GCF of 735,70,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5198598/1

Therefore the LCM of Fractions 69/735,866/70,522/897 is 5198598

Greatest Common Factor of 735,70,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,70,897 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 735,70,897 . The biggest common factor number is the GCF number.
So the greatest common factor 735,70,897 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 69/735, 866/70, 522/897

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 69/735, 866/70, 522/897?

Answer: LCM of Numerators as per given numbers 69/735, 866/70, 522/897 is

LCM of Numerators i.e. for 69,866,522 is 5198598

GCF of denominators i.e. for 735,70,897 is 1.

Thus, LCM of Fractions is 5198598.Finally, LCM of Fractions for 69/735, 866/70, 522/897 is 5198598.