Least Common Multiple of 89/38, 80/42, 76/67, 66/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/38, 80/42, 76/67, 66/106 quickly i.e. 4464240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/38, 80/42, 76/67, 66/106 is 4464240.

LCM(89/38, 80/42, 76/67, 66/106) = 4464240

LCM of 89/38, 80/42, 76/67, 66/106

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 89/38,80/42,76/67,66/106

Given numbers are 89/38,80/42,76/67,66/106

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 89,80,76,66

Least Common Multiple of Numerators i.e. LCM of 89,80,76,66 is 4464240.

GCF of Denominators means GCF of 38,42,67,106 as per the given fractions.

GCF of 38,42,67,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,80,76,66

LCM of Fractions 89/38,80/42,76/67,66/106 is 4464240

2 89, 80, 76, 66
2 89, 40, 38, 33
89, 20, 19, 33

∴ So the LCM of the given numbers is 2 x 2 x 89 x 20 x 19 x 33 = 4464240

Least Common Multiple of 89,80,76,66 with GCF Formula

Least Common Multiple of 89,80,76,66 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 89,80,76,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,80,76,66) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(89,80,76,66) x common factors =1 x 8 = 8

LCM(89,80,76,66) = ( 89 × 80 × 76 × 66 ) / 8

LCM(89,80,76,66) = 35713920 / 8

LCM(89,80,76,66) = 4464240


Lets's calculate GCF of 38,42,67,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4464240/1

Therefore the LCM of Fractions 89/38,80/42,76/67,66/106 is 4464240

Greatest Common Factor of 38,42,67,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,42,67,106 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 67

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

1,67

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 38,42,67,106 . The biggest common factor number is the GCF number.
So the greatest common factor 38,42,67,106 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 89/38, 80/42, 76/67, 66/106

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 89/38, 80/42, 76/67, 66/106?

Answer: LCM of Numerators as per given numbers 89/38, 80/42, 76/67, 66/106 is

LCM of Numerators i.e. for 89,80,76,66 is 4464240

GCF of denominators i.e. for 38,42,67,106 is 1.

Thus, LCM of Fractions is 4464240.Finally, LCM of Fractions for 89/38, 80/42, 76/67, 66/106 is 4464240.