Least Common Multiple of 969/75, 349/57, 890/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/75, 349/57, 890/859 quickly i.e. 300981090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/75, 349/57, 890/859 is 300981090.

LCM(969/75, 349/57, 890/859) = 300981090

LCM of 969/75, 349/57, 890/859

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 969/75,349/57,890/859

Given numbers are 969/75,349/57,890/859

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 969,349,890

Least Common Multiple of Numerators i.e. LCM of 969,349,890 is 300981090.

GCF of Denominators means GCF of 75,57,859 as per the given fractions.

GCF of 75,57,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,349,890

LCM of Fractions 969/75,349/57,890/859 is 300981090

Given numbers has no common factors except 1. So, there LCM is their product i.e 300981090

Least Common Multiple of 969,349,890 with GCF Formula

Least Common Multiple of 969,349,890 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 969,349,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,349,890) = 1

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

GCF(969,349,890) x common factors =1 x 1 = 1

LCM(969,349,890) = ( 969 × 349 × 890 ) / 1

LCM(969,349,890) = 300981090 / 1

LCM(969,349,890) = 300981090


Lets's calculate GCF of 75,57,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300981090/1

Therefore the LCM of Fractions 969/75,349/57,890/859 is 300981090

Greatest Common Factor of 75,57,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,57,859 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 75,57,859 . The biggest common factor number is the GCF number.
So the greatest common factor 75,57,859 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 969/75, 349/57, 890/859

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 969/75, 349/57, 890/859?

Answer: LCM of Numerators as per given numbers 969/75, 349/57, 890/859 is

LCM of Numerators i.e. for 969,349,890 is 300981090

GCF of denominators i.e. for 75,57,859 is 1.

Thus, LCM of Fractions is 300981090.Finally, LCM of Fractions for 969/75, 349/57, 890/859 is 300981090.