Least Common Multiple of 42/612, 769/553, 668/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/612, 769/553, 668/720 quickly i.e. 10787532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/612, 769/553, 668/720 is 10787532.

LCM(42/612, 769/553, 668/720) = 10787532

LCM of 42/612, 769/553, 668/720

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 42/612,769/553,668/720

Given numbers are 42/612,769/553,668/720

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 42,769,668

Least Common Multiple of Numerators i.e. LCM of 42,769,668 is 10787532.

GCF of Denominators means GCF of 612,553,720 as per the given fractions.

GCF of 612,553,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,769,668

LCM of Fractions 42/612,769/553,668/720 is 10787532

2 42, 769, 668
21, 769, 334

∴ So the LCM of the given numbers is 2 x 21 x 769 x 334 = 10787532

Least Common Multiple of 42,769,668 with GCF Formula

Least Common Multiple of 42,769,668 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 42,769,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,769,668) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,769,668) x common factors =1 x 2 = 2

LCM(42,769,668) = ( 42 × 769 × 668 ) / 2

LCM(42,769,668) = 21575064 / 2

LCM(42,769,668) = 10787532


Lets's calculate GCF of 612,553,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10787532/1

Therefore the LCM of Fractions 42/612,769/553,668/720 is 10787532

Greatest Common Factor of 612,553,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,553,720 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 612,553,720 . The biggest common factor number is the GCF number.
So the greatest common factor 612,553,720 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 42/612, 769/553, 668/720

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 42/612, 769/553, 668/720?

Answer: LCM of Numerators as per given numbers 42/612, 769/553, 668/720 is

LCM of Numerators i.e. for 42,769,668 is 10787532

GCF of denominators i.e. for 612,553,720 is 1.

Thus, LCM of Fractions is 10787532.Finally, LCM of Fractions for 42/612, 769/553, 668/720 is 10787532.