Least Common Multiple of 53/23, 92/148, 309/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/23, 92/148, 309/847 quickly i.e. 1506684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/23, 92/148, 309/847 is 1506684.

LCM(53/23, 92/148, 309/847) = 1506684

LCM of 53/23, 92/148, 309/847

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 53/23,92/148,309/847

Given numbers are 53/23,92/148,309/847

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 53,92,309

Least Common Multiple of Numerators i.e. LCM of 53,92,309 is 1506684.

GCF of Denominators means GCF of 23,148,847 as per the given fractions.

GCF of 23,148,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,92,309

LCM of Fractions 53/23,92/148,309/847 is 1506684

Given numbers has no common factors except 1. So, there LCM is their product i.e 1506684

Least Common Multiple of 53,92,309 with GCF Formula

Least Common Multiple of 53,92,309 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 53,92,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,92,309) = 1

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

GCF(53,92,309) x common factors =1 x 1 = 1

LCM(53,92,309) = ( 53 × 92 × 309 ) / 1

LCM(53,92,309) = 1506684 / 1

LCM(53,92,309) = 1506684


Lets's calculate GCF of 23,148,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1506684/1

Therefore the LCM of Fractions 53/23,92/148,309/847 is 1506684

Greatest Common Factor of 23,148,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,148,847 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 23,148,847 . The biggest common factor number is the GCF number.
So the greatest common factor 23,148,847 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 53/23, 92/148, 309/847

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 53/23, 92/148, 309/847?

Answer: LCM of Numerators as per given numbers 53/23, 92/148, 309/847 is

LCM of Numerators i.e. for 53,92,309 is 1506684

GCF of denominators i.e. for 23,148,847 is 1.

Thus, LCM of Fractions is 1506684.Finally, LCM of Fractions for 53/23, 92/148, 309/847 is 1506684.