Least Common Multiple of 675/465, 7686/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/465, 7686/170 quickly i.e. 115290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/465, 7686/170 is 115290.

LCM(675/465, 7686/170) = 115290

LCM of 675/465, 7686/170

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 675/465,7686/170

Given numbers are 675/465,7686/170

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 675,7686

Least Common Multiple of Numerators i.e. LCM of 675,7686 is 576450.

GCF of Denominators means GCF of 465,170 as per the given fractions.

GCF of 465,170 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,7686

LCM of Fractions 675/465,7686/170 is 115290

3 675, 7686
3 225, 2562
75, 854

∴ So the LCM of the given numbers is 3 x 3 x 75 x 854 = 576450

Least Common Multiple of 675,7686 with GCF Formula

Least Common Multiple of 675,7686 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 675,7686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,7686) = 9

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

GCF(675,7686) x common factors =9 x 1 = 9

LCM(675,7686) = ( 675 × 7686 ) / 9

LCM(675,7686) = 5188050 / 9

LCM(675,7686) = 576450


Lets's calculate GCF of 465,170

5 465, 170
93, 34

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576450/5

Therefore the LCM of Fractions 675/465,7686/170 is 115290

Greatest Common Factor of 465,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,170 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 465,170 . The biggest common factor number is the GCF number.
So the greatest common factor 465,170 is 5.


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 675/465, 7686/170

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 675/465, 7686/170?

Answer: LCM of Numerators as per given numbers 675/465, 7686/170 is

LCM of Numerators i.e. for 675,7686 is 576450

GCF of denominators i.e. for 465,170 is 5.

Thus, LCM of Fractions is 115290.Finally, LCM of Fractions for 675/465, 7686/170 is 115290.