Least Common Multiple of 169/75, 851/16, 860/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/75, 851/16, 860/68 quickly i.e. 123684340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/75, 851/16, 860/68 is 123684340.

LCM(169/75, 851/16, 860/68) = 123684340

LCM of 169/75, 851/16, 860/68

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 169/75,851/16,860/68

Given numbers are 169/75,851/16,860/68

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 169,851,860

Least Common Multiple of Numerators i.e. LCM of 169,851,860 is 123684340.

GCF of Denominators means GCF of 75,16,68 as per the given fractions.

GCF of 75,16,68 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,851,860

LCM of Fractions 169/75,851/16,860/68 is 123684340

Given numbers has no common factors except 1. So, there LCM is their product i.e 123684340

Least Common Multiple of 169,851,860 with GCF Formula

Least Common Multiple of 169,851,860 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 169,851,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,851,860) = 1

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

GCF(169,851,860) x common factors =1 x 1 = 1

LCM(169,851,860) = ( 169 × 851 × 860 ) / 1

LCM(169,851,860) = 123684340 / 1

LCM(169,851,860) = 123684340


Lets's calculate GCF of 75,16,68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123684340/1

Therefore the LCM of Fractions 169/75,851/16,860/68 is 123684340

Greatest Common Factor of 75,16,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,16,68 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 75,16,68 . The biggest common factor number is the GCF number.
So the greatest common factor 75,16,68 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 169/75, 851/16, 860/68

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 169/75, 851/16, 860/68?

Answer: LCM of Numerators as per given numbers 169/75, 851/16, 860/68 is

LCM of Numerators i.e. for 169,851,860 is 123684340

GCF of denominators i.e. for 75,16,68 is 1.

Thus, LCM of Fractions is 123684340.Finally, LCM of Fractions for 169/75, 851/16, 860/68 is 123684340.