Least Common Multiple of 45/90, 74/63, 84/10, 43/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/90, 74/63, 84/10, 43/574 quickly i.e. 2004660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/90, 74/63, 84/10, 43/574 is 2004660.

LCM(45/90, 74/63, 84/10, 43/574) = 2004660

LCM of 45/90, 74/63, 84/10, 43/574

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 45/90,74/63,84/10,43/574

Given numbers are 45/90,74/63,84/10,43/574

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 45,74,84,43

Least Common Multiple of Numerators i.e. LCM of 45,74,84,43 is 2004660.

GCF of Denominators means GCF of 90,63,10,574 as per the given fractions.

GCF of 90,63,10,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,74,84,43

LCM of Fractions 45/90,74/63,84/10,43/574 is 2004660

2 45, 74, 84, 43
3 45, 37, 42, 43
15, 37, 14, 43

∴ So the LCM of the given numbers is 2 x 3 x 15 x 37 x 14 x 43 = 2004660

Least Common Multiple of 45,74,84,43 with GCF Formula

Least Common Multiple of 45,74,84,43 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 45,74,84,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,74,84,43) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,74,84,43) x common factors =1 x 6 = 6

LCM(45,74,84,43) = ( 45 × 74 × 84 × 43 ) / 6

LCM(45,74,84,43) = 12027960 / 6

LCM(45,74,84,43) = 2004660


Lets's calculate GCF of 90,63,10,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2004660/1

Therefore the LCM of Fractions 45/90,74/63,84/10,43/574 is 2004660

Greatest Common Factor of 90,63,10,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,63,10,574 By Matching Biggest Common Factor Method

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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 10

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

1,2,5,10

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 90,63,10,574 . The biggest common factor number is the GCF number.
So the greatest common factor 90,63,10,574 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 45/90, 74/63, 84/10, 43/574

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 45/90, 74/63, 84/10, 43/574?

Answer: LCM of Numerators as per given numbers 45/90, 74/63, 84/10, 43/574 is

LCM of Numerators i.e. for 45,74,84,43 is 2004660

GCF of denominators i.e. for 90,63,10,574 is 1.

Thus, LCM of Fractions is 2004660.Finally, LCM of Fractions for 45/90, 74/63, 84/10, 43/574 is 2004660.