Least Common Multiple of 4272/462, 5436/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4272/462, 5436/670 quickly i.e. 967608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4272/462, 5436/670 is 967608.

LCM(4272/462, 5436/670) = 967608

LCM of 4272/462, 5436/670

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 4272/462,5436/670

Given numbers are 4272/462,5436/670

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 4272,5436

Least Common Multiple of Numerators i.e. LCM of 4272,5436 is 1935216.

GCF of Denominators means GCF of 462,670 as per the given fractions.

GCF of 462,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4272,5436

LCM of Fractions 4272/462,5436/670 is 967608

2 4272, 5436
2 2136, 2718
3 1068, 1359
356, 453

∴ So the LCM of the given numbers is 2 x 2 x 3 x 356 x 453 = 1935216

Least Common Multiple of 4272,5436 with GCF Formula

Least Common Multiple of 4272,5436 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 4272,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4272,5436) = 12

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

GCF(4272,5436) x common factors =12 x 1 = 12

LCM(4272,5436) = ( 4272 × 5436 ) / 12

LCM(4272,5436) = 23222592 / 12

LCM(4272,5436) = 1935216


Lets's calculate GCF of 462,670

2 462, 670
231, 335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1935216/2

Therefore the LCM of Fractions 4272/462,5436/670 is 967608

Greatest Common Factor of 462,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,670 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 462,670 . The biggest common factor number is the GCF number.
So the greatest common factor 462,670 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 4272/462, 5436/670

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 4272/462, 5436/670?

Answer: LCM of Numerators as per given numbers 4272/462, 5436/670 is

LCM of Numerators i.e. for 4272,5436 is 1935216

GCF of denominators i.e. for 462,670 is 2.

Thus, LCM of Fractions is 967608.Finally, LCM of Fractions for 4272/462, 5436/670 is 967608.