Least Common Multiple of 53/24, 89/874, 780/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/24, 89/874, 780/390 quickly i.e. 1839630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/24, 89/874, 780/390 is 1839630.

LCM(53/24, 89/874, 780/390) = 1839630

LCM of 53/24, 89/874, 780/390

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 53/24,89/874,780/390

Given numbers are 53/24,89/874,780/390

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 53,89,780

Least Common Multiple of Numerators i.e. LCM of 53,89,780 is 3679260.

GCF of Denominators means GCF of 24,874,390 as per the given fractions.

GCF of 24,874,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,89,780

LCM of Fractions 53/24,89/874,780/390 is 1839630

Given numbers has no common factors except 1. So, there LCM is their product i.e 3679260

Least Common Multiple of 53,89,780 with GCF Formula

Least Common Multiple of 53,89,780 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 53,89,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,89,780) = 1

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

GCF(53,89,780) x common factors =1 x 1 = 1

LCM(53,89,780) = ( 53 × 89 × 780 ) / 1

LCM(53,89,780) = 3679260 / 1

LCM(53,89,780) = 3679260


Lets's calculate GCF of 24,874,390

2 24, 874, 390
12, 437, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3679260/2

Therefore the LCM of Fractions 53/24,89/874,780/390 is 1839630

Greatest Common Factor of 24,874,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,874,390 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 24,874,390 . The biggest common factor number is the GCF number.
So the greatest common factor 24,874,390 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 53/24, 89/874, 780/390

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 53/24, 89/874, 780/390?

Answer: LCM of Numerators as per given numbers 53/24, 89/874, 780/390 is

LCM of Numerators i.e. for 53,89,780 is 3679260

GCF of denominators i.e. for 24,874,390 is 2.

Thus, LCM of Fractions is 1839630.Finally, LCM of Fractions for 53/24, 89/874, 780/390 is 1839630.