Least Common Multiple of 906/85, 814/12, 717/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/85, 814/12, 717/14 quickly i.e. 88129338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/85, 814/12, 717/14 is 88129338.

LCM(906/85, 814/12, 717/14) = 88129338

LCM of 906/85, 814/12, 717/14

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 906/85,814/12,717/14

Given numbers are 906/85,814/12,717/14

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 906,814,717

Least Common Multiple of Numerators i.e. LCM of 906,814,717 is 88129338.

GCF of Denominators means GCF of 85,12,14 as per the given fractions.

GCF of 85,12,14 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,814,717

LCM of Fractions 906/85,814/12,717/14 is 88129338

2 906, 814, 717
3 453, 407, 717
151, 407, 239

∴ So the LCM of the given numbers is 2 x 3 x 151 x 407 x 239 = 88129338

Least Common Multiple of 906,814,717 with GCF Formula

Least Common Multiple of 906,814,717 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 906,814,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,814,717) = 1

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

GCF(906,814,717) x common factors =1 x 6 = 6

LCM(906,814,717) = ( 906 × 814 × 717 ) / 6

LCM(906,814,717) = 528776028 / 6

LCM(906,814,717) = 88129338


Lets's calculate GCF of 85,12,14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88129338/1

Therefore the LCM of Fractions 906/85,814/12,717/14 is 88129338

Greatest Common Factor of 85,12,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,12,14 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 85,12,14 . The biggest common factor number is the GCF number.
So the greatest common factor 85,12,14 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 906/85, 814/12, 717/14

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 906/85, 814/12, 717/14?

Answer: LCM of Numerators as per given numbers 906/85, 814/12, 717/14 is

LCM of Numerators i.e. for 906,814,717 is 88129338

GCF of denominators i.e. for 85,12,14 is 1.

Thus, LCM of Fractions is 88129338.Finally, LCM of Fractions for 906/85, 814/12, 717/14 is 88129338.