Least Common Multiple of 403/94, 520/21, 810/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/94, 520/21, 810/352 quickly i.e. 1305720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/94, 520/21, 810/352 is 1305720.

LCM(403/94, 520/21, 810/352) = 1305720

LCM of 403/94, 520/21, 810/352

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 403/94,520/21,810/352

Given numbers are 403/94,520/21,810/352

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 403,520,810

Least Common Multiple of Numerators i.e. LCM of 403,520,810 is 1305720.

GCF of Denominators means GCF of 94,21,352 as per the given fractions.

GCF of 94,21,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,520,810

LCM of Fractions 403/94,520/21,810/352 is 1305720

2 403, 520, 810
5 403, 260, 405
13 403, 52, 81
31, 4, 81

∴ So the LCM of the given numbers is 2 x 5 x 13 x 31 x 4 x 81 = 1305720

Least Common Multiple of 403,520,810 with GCF Formula

Least Common Multiple of 403,520,810 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 403,520,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,520,810) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(403,520,810) x common factors =1 x 130 = 130

LCM(403,520,810) = ( 403 × 520 × 810 ) / 130

LCM(403,520,810) = 169743600 / 130

LCM(403,520,810) = 1305720


Lets's calculate GCF of 94,21,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1305720/1

Therefore the LCM of Fractions 403/94,520/21,810/352 is 1305720

Greatest Common Factor of 94,21,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,21,352 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 94,21,352 . The biggest common factor number is the GCF number.
So the greatest common factor 94,21,352 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 403/94, 520/21, 810/352

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 403/94, 520/21, 810/352?

Answer: LCM of Numerators as per given numbers 403/94, 520/21, 810/352 is

LCM of Numerators i.e. for 403,520,810 is 1305720

GCF of denominators i.e. for 94,21,352 is 1.

Thus, LCM of Fractions is 1305720.Finally, LCM of Fractions for 403/94, 520/21, 810/352 is 1305720.