Least Common Multiple of 48/505, 7743/6090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/505, 7743/6090 quickly i.e. 123888/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/505, 7743/6090 is 123888/5.

LCM(48/505, 7743/6090) = 123888/5

LCM of 48/505, 7743/6090

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 48/505,7743/6090

Given numbers are 48/505,7743/6090

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 48,7743

Least Common Multiple of Numerators i.e. LCM of 48,7743 is 123888.

GCF of Denominators means GCF of 505,6090 as per the given fractions.

GCF of 505,6090 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,7743

LCM of Fractions 48/505,7743/6090 is 123888/5

3 48, 7743
16, 2581

∴ So the LCM of the given numbers is 3 x 16 x 2581 = 123888

Least Common Multiple of 48,7743 with GCF Formula

Least Common Multiple of 48,7743 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 48,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,7743) = 3

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

GCF(48,7743) x common factors =3 x 1 = 3

LCM(48,7743) = ( 48 × 7743 ) / 3

LCM(48,7743) = 371664 / 3

LCM(48,7743) = 123888


Lets's calculate GCF of 505,6090

5 505, 6090
101, 1218

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123888/5

Therefore the LCM of Fractions 48/505,7743/6090 is 123888/5

Greatest Common Factor of 505,6090 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,6090 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Greatest Common Factor

We found the factors 505,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 505,6090 is 5.


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 48/505, 7743/6090

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 48/505, 7743/6090?

Answer: LCM of Numerators as per given numbers 48/505, 7743/6090 is

LCM of Numerators i.e. for 48,7743 is 123888

GCF of denominators i.e. for 505,6090 is 5.

Thus, LCM of Fractions is 123888/5.Finally, LCM of Fractions for 48/505, 7743/6090 is 123888/5.