Least Common Multiple of 3/89, 6/10, 76/90, 40/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/89, 6/10, 76/90, 40/340 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/89, 6/10, 76/90, 40/340 is 2280.

LCM(3/89, 6/10, 76/90, 40/340) = 2280

LCM of 3/89, 6/10, 76/90, 40/340

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 3/89,6/10,76/90,40/340

Given numbers are 3/89,6/10,76/90,40/340

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 3,6,76,40

Least Common Multiple of Numerators i.e. LCM of 3,6,76,40 is 2280.

GCF of Denominators means GCF of 89,10,90,340 as per the given fractions.

GCF of 89,10,90,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,6,76,40

LCM of Fractions 3/89,6/10,76/90,40/340 is 2280

2 3, 6, 76, 40
2 3, 3, 38, 20
3 3, 3, 19, 10
1, 1, 19, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 19 x 10 = 2280

Least Common Multiple of 3,6,76,40 with GCF Formula

Least Common Multiple of 3,6,76,40 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 3,6,76,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,6,76,40) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(3,6,76,40) x common factors =1 x 24 = 24

LCM(3,6,76,40) = ( 3 × 6 × 76 × 40 ) / 24

LCM(3,6,76,40) = 54720 / 24

LCM(3,6,76,40) = 2280


Lets's calculate GCF of 89,10,90,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/1

Therefore the LCM of Fractions 3/89,6/10,76/90,40/340 is 2280

Greatest Common Factor of 89,10,90,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,10,90,340 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 10

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

1,2,5,10

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 89,10,90,340 . The biggest common factor number is the GCF number.
So the greatest common factor 89,10,90,340 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 3/89, 6/10, 76/90, 40/340

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 3/89, 6/10, 76/90, 40/340?

Answer: LCM of Numerators as per given numbers 3/89, 6/10, 76/90, 40/340 is

LCM of Numerators i.e. for 3,6,76,40 is 2280

GCF of denominators i.e. for 89,10,90,340 is 1.

Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 3/89, 6/10, 76/90, 40/340 is 2280.