Least Common Multiple of 920/628, 429/814, 452/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/628, 429/814, 452/554 quickly i.e. 22299420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/628, 429/814, 452/554 is 22299420.

LCM(920/628, 429/814, 452/554) = 22299420

LCM of 920/628, 429/814, 452/554

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 920/628,429/814,452/554

Given numbers are 920/628,429/814,452/554

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 920,429,452

Least Common Multiple of Numerators i.e. LCM of 920,429,452 is 44598840.

GCF of Denominators means GCF of 628,814,554 as per the given fractions.

GCF of 628,814,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,429,452

LCM of Fractions 920/628,429/814,452/554 is 22299420

2 920, 429, 452
2 460, 429, 226
230, 429, 113

∴ So the LCM of the given numbers is 2 x 2 x 230 x 429 x 113 = 44598840

Least Common Multiple of 920,429,452 with GCF Formula

Least Common Multiple of 920,429,452 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 920,429,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,429,452) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(920,429,452) x common factors =1 x 4 = 4

LCM(920,429,452) = ( 920 × 429 × 452 ) / 4

LCM(920,429,452) = 178395360 / 4

LCM(920,429,452) = 44598840


Lets's calculate GCF of 628,814,554

2 628, 814, 554
314, 407, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44598840/2

Therefore the LCM of Fractions 920/628,429/814,452/554 is 22299420

Greatest Common Factor of 628,814,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,814,554 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

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 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 628,814,554 . The biggest common factor number is the GCF number.
So the greatest common factor 628,814,554 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 920/628, 429/814, 452/554

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 920/628, 429/814, 452/554?

Answer: LCM of Numerators as per given numbers 920/628, 429/814, 452/554 is

LCM of Numerators i.e. for 920,429,452 is 44598840

GCF of denominators i.e. for 628,814,554 is 2.

Thus, LCM of Fractions is 22299420.Finally, LCM of Fractions for 920/628, 429/814, 452/554 is 22299420.