Least Common Multiple of 45/72, 694/90, 784/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/72, 694/90, 784/740 quickly i.e. 6121080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/72, 694/90, 784/740 is 6121080.

LCM(45/72, 694/90, 784/740) = 6121080

LCM of 45/72, 694/90, 784/740

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 45/72,694/90,784/740

Given numbers are 45/72,694/90,784/740

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 45,694,784

Least Common Multiple of Numerators i.e. LCM of 45,694,784 is 12242160.

GCF of Denominators means GCF of 72,90,740 as per the given fractions.

GCF of 72,90,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,694,784

LCM of Fractions 45/72,694/90,784/740 is 6121080

2 45, 694, 784
45, 347, 392

∴ So the LCM of the given numbers is 2 x 45 x 347 x 392 = 12242160

Least Common Multiple of 45,694,784 with GCF Formula

Least Common Multiple of 45,694,784 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 45,694,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,694,784) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(45,694,784) x common factors =1 x 2 = 2

LCM(45,694,784) = ( 45 × 694 × 784 ) / 2

LCM(45,694,784) = 24484320 / 2

LCM(45,694,784) = 12242160


Lets's calculate GCF of 72,90,740

2 72, 90, 740
36, 45, 370

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12242160/2

Therefore the LCM of Fractions 45/72,694/90,784/740 is 6121080

Greatest Common Factor of 72,90,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,90,740 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 72,90,740 . The biggest common factor number is the GCF number.
So the greatest common factor 72,90,740 is 2.


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 45/72, 694/90, 784/740

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 45/72, 694/90, 784/740?

Answer: LCM of Numerators as per given numbers 45/72, 694/90, 784/740 is

LCM of Numerators i.e. for 45,694,784 is 12242160

GCF of denominators i.e. for 72,90,740 is 2.

Thus, LCM of Fractions is 6121080.Finally, LCM of Fractions for 45/72, 694/90, 784/740 is 6121080.