Least Common Multiple of 45/922, 3624/7730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/922, 3624/7730 quickly i.e. 27180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/922, 3624/7730 is 27180.

LCM(45/922, 3624/7730) = 27180

LCM of 45/922, 3624/7730

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 45/922,3624/7730

Given numbers are 45/922,3624/7730

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 45,3624

Least Common Multiple of Numerators i.e. LCM of 45,3624 is 54360.

GCF of Denominators means GCF of 922,7730 as per the given fractions.

GCF of 922,7730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3624

LCM of Fractions 45/922,3624/7730 is 27180

3 45, 3624
15, 1208

∴ So the LCM of the given numbers is 3 x 15 x 1208 = 54360

Least Common Multiple of 45,3624 with GCF Formula

Least Common Multiple of 45,3624 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 45,3624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3624) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(45,3624) x common factors =3 x 1 = 3

LCM(45,3624) = ( 45 × 3624 ) / 3

LCM(45,3624) = 163080 / 3

LCM(45,3624) = 54360


Lets's calculate GCF of 922,7730

2 922, 7730
461, 3865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54360/2

Therefore the LCM of Fractions 45/922,3624/7730 is 27180

Greatest Common Factor of 922,7730 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,7730 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Greatest Common Factor

We found the factors 922,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 922,7730 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 45/922, 3624/7730

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 45/922, 3624/7730?

Answer: LCM of Numerators as per given numbers 45/922, 3624/7730 is

LCM of Numerators i.e. for 45,3624 is 54360

GCF of denominators i.e. for 922,7730 is 2.

Thus, LCM of Fractions is 27180.Finally, LCM of Fractions for 45/922, 3624/7730 is 27180.