Least Common Multiple of 4/40, 1/90, 45/67, 96/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/40, 1/90, 45/67, 96/414 quickly i.e. 1440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/40, 1/90, 45/67, 96/414 is 1440.

LCM(4/40, 1/90, 45/67, 96/414) = 1440

LCM of 4/40, 1/90, 45/67, 96/414

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 4/40,1/90,45/67,96/414

Given numbers are 4/40,1/90,45/67,96/414

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 4,1,45,96

Least Common Multiple of Numerators i.e. LCM of 4,1,45,96 is 1440.

GCF of Denominators means GCF of 40,90,67,414 as per the given fractions.

GCF of 40,90,67,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,1,45,96

LCM of Fractions 4/40,1/90,45/67,96/414 is 1440

2 4, 1, 45, 96
2 2, 1, 45, 48
3 1, 1, 45, 24
1, 1, 15, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 15 x 8 = 1440

Least Common Multiple of 4,1,45,96 with GCF Formula

Least Common Multiple of 4,1,45,96 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 4,1,45,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,1,45,96) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(4,1,45,96) x common factors =1 x 12 = 12

LCM(4,1,45,96) = ( 4 × 1 × 45 × 96 ) / 12

LCM(4,1,45,96) = 17280 / 12

LCM(4,1,45,96) = 1440


Lets's calculate GCF of 40,90,67,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/1

Therefore the LCM of Fractions 4/40,1/90,45/67,96/414 is 1440

Greatest Common Factor of 40,90,67,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,90,67,414 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 67

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

1,67

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 40,90,67,414 . The biggest common factor number is the GCF number.
So the greatest common factor 40,90,67,414 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 4/40, 1/90, 45/67, 96/414

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 4/40, 1/90, 45/67, 96/414?

Answer: LCM of Numerators as per given numbers 4/40, 1/90, 45/67, 96/414 is

LCM of Numerators i.e. for 4,1,45,96 is 1440

GCF of denominators i.e. for 40,90,67,414 is 1.

Thus, LCM of Fractions is 1440.Finally, LCM of Fractions for 4/40, 1/90, 45/67, 96/414 is 1440.