Least Common Multiple of 897/936, 565/888, 747/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/936, 565/888, 747/880 quickly i.e. 126194445/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/936, 565/888, 747/880 is 126194445/8.

LCM(897/936, 565/888, 747/880) = 126194445/8

LCM of 897/936, 565/888, 747/880

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 897/936,565/888,747/880

Given numbers are 897/936,565/888,747/880

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 897,565,747

Least Common Multiple of Numerators i.e. LCM of 897,565,747 is 126194445.

GCF of Denominators means GCF of 936,888,880 as per the given fractions.

GCF of 936,888,880 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,565,747

LCM of Fractions 897/936,565/888,747/880 is 126194445/8

3 897, 565, 747
299, 565, 249

∴ So the LCM of the given numbers is 3 x 299 x 565 x 249 = 126194445

Least Common Multiple of 897,565,747 with GCF Formula

Least Common Multiple of 897,565,747 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 897,565,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,565,747) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(897,565,747) x common factors =1 x 3 = 3

LCM(897,565,747) = ( 897 × 565 × 747 ) / 3

LCM(897,565,747) = 378583335 / 3

LCM(897,565,747) = 126194445


Lets's calculate GCF of 936,888,880

2 936, 888, 880
2 468, 444, 440
2 234, 222, 220
117, 111, 110

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126194445/8

Therefore the LCM of Fractions 897/936,565/888,747/880 is 126194445/8

Greatest Common Factor of 936,888,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,888,880 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 936,888,880 . The biggest common factor number is the GCF number.
So the greatest common factor 936,888,880 is 8.


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 897/936, 565/888, 747/880

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 897/936, 565/888, 747/880?

Answer: LCM of Numerators as per given numbers 897/936, 565/888, 747/880 is

LCM of Numerators i.e. for 897,565,747 is 126194445

GCF of denominators i.e. for 936,888,880 is 8.

Thus, LCM of Fractions is 126194445/8.Finally, LCM of Fractions for 897/936, 565/888, 747/880 is 126194445/8.