Least Common Multiple of 66/67, 45/10, 689/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/67, 45/10, 689/270 quickly i.e. 682110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/67, 45/10, 689/270 is 682110.

LCM(66/67, 45/10, 689/270) = 682110

LCM of 66/67, 45/10, 689/270

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 66/67,45/10,689/270

Given numbers are 66/67,45/10,689/270

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 66,45,689

Least Common Multiple of Numerators i.e. LCM of 66,45,689 is 682110.

GCF of Denominators means GCF of 67,10,270 as per the given fractions.

GCF of 67,10,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,45,689

LCM of Fractions 66/67,45/10,689/270 is 682110

3 66, 45, 689
22, 15, 689

∴ So the LCM of the given numbers is 3 x 22 x 15 x 689 = 682110

Least Common Multiple of 66,45,689 with GCF Formula

Least Common Multiple of 66,45,689 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 66,45,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,45,689) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,45,689) x common factors =1 x 3 = 3

LCM(66,45,689) = ( 66 × 45 × 689 ) / 3

LCM(66,45,689) = 2046330 / 3

LCM(66,45,689) = 682110


Lets's calculate GCF of 67,10,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682110/1

Therefore the LCM of Fractions 66/67,45/10,689/270 is 682110

Greatest Common Factor of 67,10,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,10,270 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 67,10,270 . The biggest common factor number is the GCF number.
So the greatest common factor 67,10,270 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 66/67, 45/10, 689/270

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 66/67, 45/10, 689/270?

Answer: LCM of Numerators as per given numbers 66/67, 45/10, 689/270 is

LCM of Numerators i.e. for 66,45,689 is 682110

GCF of denominators i.e. for 67,10,270 is 1.

Thus, LCM of Fractions is 682110.Finally, LCM of Fractions for 66/67, 45/10, 689/270 is 682110.