Least Common Multiple of 53/614, 928/814, 337/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/614, 928/814, 337/270 quickly i.e. 8287504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/614, 928/814, 337/270 is 8287504.

LCM(53/614, 928/814, 337/270) = 8287504

LCM of 53/614, 928/814, 337/270

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 53/614,928/814,337/270

Given numbers are 53/614,928/814,337/270

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 53,928,337

Least Common Multiple of Numerators i.e. LCM of 53,928,337 is 16575008.

GCF of Denominators means GCF of 614,814,270 as per the given fractions.

GCF of 614,814,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,928,337

LCM of Fractions 53/614,928/814,337/270 is 8287504

Given numbers has no common factors except 1. So, there LCM is their product i.e 16575008

Least Common Multiple of 53,928,337 with GCF Formula

Least Common Multiple of 53,928,337 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 53,928,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,928,337) = 1

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

GCF(53,928,337) x common factors =1 x 1 = 1

LCM(53,928,337) = ( 53 × 928 × 337 ) / 1

LCM(53,928,337) = 16575008 / 1

LCM(53,928,337) = 16575008


Lets's calculate GCF of 614,814,270

2 614, 814, 270
307, 407, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16575008/2

Therefore the LCM of Fractions 53/614,928/814,337/270 is 8287504

Greatest Common Factor of 614,814,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,814,270 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 614,814,270 . The biggest common factor number is the GCF number.
So the greatest common factor 614,814,270 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 53/614, 928/814, 337/270

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 53/614, 928/814, 337/270?

Answer: LCM of Numerators as per given numbers 53/614, 928/814, 337/270 is

LCM of Numerators i.e. for 53,928,337 is 16575008

GCF of denominators i.e. for 614,814,270 is 2.

Thus, LCM of Fractions is 8287504.Finally, LCM of Fractions for 53/614, 928/814, 337/270 is 8287504.