Least Common Multiple of 172/85, 668/7660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/85, 668/7660 quickly i.e. 28724/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/85, 668/7660 is 28724/5.

LCM(172/85, 668/7660) = 28724/5

LCM of 172/85, 668/7660

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 172/85,668/7660

Given numbers are 172/85,668/7660

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 172,668

Least Common Multiple of Numerators i.e. LCM of 172,668 is 28724.

GCF of Denominators means GCF of 85,7660 as per the given fractions.

GCF of 85,7660 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,668

LCM of Fractions 172/85,668/7660 is 28724/5

2 172, 668
2 86, 334
43, 167

∴ So the LCM of the given numbers is 2 x 2 x 43 x 167 = 28724

Least Common Multiple of 172,668 with GCF Formula

Least Common Multiple of 172,668 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 172,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,668) = 4

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

GCF(172,668) x common factors =4 x 1 = 4

LCM(172,668) = ( 172 × 668 ) / 4

LCM(172,668) = 114896 / 4

LCM(172,668) = 28724


Lets's calculate GCF of 85,7660

5 85, 7660
17, 1532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28724/5

Therefore the LCM of Fractions 172/85,668/7660 is 28724/5

Greatest Common Factor of 85,7660 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,7660 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 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Greatest Common Factor

We found the factors 85,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 85,7660 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 172/85, 668/7660

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 172/85, 668/7660?

Answer: LCM of Numerators as per given numbers 172/85, 668/7660 is

LCM of Numerators i.e. for 172,668 is 28724

GCF of denominators i.e. for 85,7660 is 5.

Thus, LCM of Fractions is 28724/5.Finally, LCM of Fractions for 172/85, 668/7660 is 28724/5.