Least Common Multiple of 86/84, 70/51, 34/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/84, 70/51, 34/417 quickly i.e. 51170/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/84, 70/51, 34/417 is 51170/3.

LCM(86/84, 70/51, 34/417) = 51170/3

LCM of 86/84, 70/51, 34/417

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 86/84,70/51,34/417

Given numbers are 86/84,70/51,34/417

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 86,70,34

Least Common Multiple of Numerators i.e. LCM of 86,70,34 is 51170.

GCF of Denominators means GCF of 84,51,417 as per the given fractions.

GCF of 84,51,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,70,34

LCM of Fractions 86/84,70/51,34/417 is 51170/3

2 86, 70, 34
43, 35, 17

∴ So the LCM of the given numbers is 2 x 43 x 35 x 17 = 51170

Least Common Multiple of 86,70,34 with GCF Formula

Least Common Multiple of 86,70,34 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 86,70,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,70,34) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(86,70,34) x common factors =2 x 2 = 4

LCM(86,70,34) = ( 86 × 70 × 34 ) / 4

LCM(86,70,34) = 204680 / 4

LCM(86,70,34) = 51170


Lets's calculate GCF of 84,51,417

3 84, 51, 417
28, 17, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51170/3

Therefore the LCM of Fractions 86/84,70/51,34/417 is 51170/3

Greatest Common Factor of 84,51,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,51,417 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 84,51,417 . The biggest common factor number is the GCF number.
So the greatest common factor 84,51,417 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 86/84, 70/51, 34/417

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 86/84, 70/51, 34/417?

Answer: LCM of Numerators as per given numbers 86/84, 70/51, 34/417 is

LCM of Numerators i.e. for 86,70,34 is 51170

GCF of denominators i.e. for 84,51,417 is 3.

Thus, LCM of Fractions is 51170/3.Finally, LCM of Fractions for 86/84, 70/51, 34/417 is 51170/3.