Least Common Multiple of 429/909, 266/755, 656/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 429/909, 266/755, 656/426 quickly i.e. 37429392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/909, 266/755, 656/426 is 37429392.

LCM(429/909, 266/755, 656/426) = 37429392

LCM of 429/909, 266/755, 656/426

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 429/909,266/755,656/426

Given numbers are 429/909,266/755,656/426

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 429,266,656

Least Common Multiple of Numerators i.e. LCM of 429,266,656 is 37429392.

GCF of Denominators means GCF of 909,755,426 as per the given fractions.

GCF of 909,755,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,266,656

LCM of Fractions 429/909,266/755,656/426 is 37429392

2 429, 266, 656
429, 133, 328

∴ So the LCM of the given numbers is 2 x 429 x 133 x 328 = 37429392

Least Common Multiple of 429,266,656 with GCF Formula

Least Common Multiple of 429,266,656 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 429,266,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,266,656) = 1

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

GCF(429,266,656) x common factors =1 x 2 = 2

LCM(429,266,656) = ( 429 × 266 × 656 ) / 2

LCM(429,266,656) = 74858784 / 2

LCM(429,266,656) = 37429392


Lets's calculate GCF of 909,755,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37429392/1

Therefore the LCM of Fractions 429/909,266/755,656/426 is 37429392

Greatest Common Factor of 909,755,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,755,426 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 909,755,426 . The biggest common factor number is the GCF number.
So the greatest common factor 909,755,426 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 429/909, 266/755, 656/426

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 429/909, 266/755, 656/426?

Answer: LCM of Numerators as per given numbers 429/909, 266/755, 656/426 is

LCM of Numerators i.e. for 429,266,656 is 37429392

GCF of denominators i.e. for 909,755,426 is 1.

Thus, LCM of Fractions is 37429392.Finally, LCM of Fractions for 429/909, 266/755, 656/426 is 37429392.