Least Common Multiple of 869/39, 195/69, 880/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/39, 195/69, 880/993 quickly i.e. 903760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/39, 195/69, 880/993 is 903760.

LCM(869/39, 195/69, 880/993) = 903760

LCM of 869/39, 195/69, 880/993

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 869/39,195/69,880/993

Given numbers are 869/39,195/69,880/993

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 869,195,880

Least Common Multiple of Numerators i.e. LCM of 869,195,880 is 2711280.

GCF of Denominators means GCF of 39,69,993 as per the given fractions.

GCF of 39,69,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,195,880

LCM of Fractions 869/39,195/69,880/993 is 903760

5 869, 195, 880
11 869, 39, 176
79, 39, 16

∴ So the LCM of the given numbers is 5 x 11 x 79 x 39 x 16 = 2711280

Least Common Multiple of 869,195,880 with GCF Formula

Least Common Multiple of 869,195,880 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 869,195,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,195,880) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(869,195,880) x common factors =1 x 55 = 55

LCM(869,195,880) = ( 869 × 195 × 880 ) / 55

LCM(869,195,880) = 149120400 / 55

LCM(869,195,880) = 2711280


Lets's calculate GCF of 39,69,993

3 39, 69, 993
13, 23, 331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2711280/3

Therefore the LCM of Fractions 869/39,195/69,880/993 is 903760

Greatest Common Factor of 39,69,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,69,993 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 39,69,993 . The biggest common factor number is the GCF number.
So the greatest common factor 39,69,993 is 3.


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 869/39, 195/69, 880/993

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 869/39, 195/69, 880/993?

Answer: LCM of Numerators as per given numbers 869/39, 195/69, 880/993 is

LCM of Numerators i.e. for 869,195,880 is 2711280

GCF of denominators i.e. for 39,69,993 is 3.

Thus, LCM of Fractions is 903760.Finally, LCM of Fractions for 869/39, 195/69, 880/993 is 903760.