Least Common Multiple of 89/670, 859/228, 412/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/670, 859/228, 412/712 quickly i.e. 15748906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/670, 859/228, 412/712 is 15748906.

LCM(89/670, 859/228, 412/712) = 15748906

LCM of 89/670, 859/228, 412/712

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 89/670,859/228,412/712

Given numbers are 89/670,859/228,412/712

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 89,859,412

Least Common Multiple of Numerators i.e. LCM of 89,859,412 is 31497812.

GCF of Denominators means GCF of 670,228,712 as per the given fractions.

GCF of 670,228,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,859,412

LCM of Fractions 89/670,859/228,412/712 is 15748906

Given numbers has no common factors except 1. So, there LCM is their product i.e 31497812

Least Common Multiple of 89,859,412 with GCF Formula

Least Common Multiple of 89,859,412 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 89,859,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,859,412) = 1

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

GCF(89,859,412) x common factors =1 x 1 = 1

LCM(89,859,412) = ( 89 × 859 × 412 ) / 1

LCM(89,859,412) = 31497812 / 1

LCM(89,859,412) = 31497812


Lets's calculate GCF of 670,228,712

2 670, 228, 712
335, 114, 356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31497812/2

Therefore the LCM of Fractions 89/670,859/228,412/712 is 15748906

Greatest Common Factor of 670,228,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,228,712 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 670,228,712 . The biggest common factor number is the GCF number.
So the greatest common factor 670,228,712 is 2.


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 89/670, 859/228, 412/712

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 89/670, 859/228, 412/712?

Answer: LCM of Numerators as per given numbers 89/670, 859/228, 412/712 is

LCM of Numerators i.e. for 89,859,412 is 31497812

GCF of denominators i.e. for 670,228,712 is 2.

Thus, LCM of Fractions is 15748906.Finally, LCM of Fractions for 89/670, 859/228, 412/712 is 15748906.