Least Common Multiple of 55/443, 61/681, 780/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/443, 61/681, 780/281 quickly i.e. 523380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/443, 61/681, 780/281 is 523380.

LCM(55/443, 61/681, 780/281) = 523380

LCM of 55/443, 61/681, 780/281

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 55/443,61/681,780/281

Given numbers are 55/443,61/681,780/281

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 55,61,780

Least Common Multiple of Numerators i.e. LCM of 55,61,780 is 523380.

GCF of Denominators means GCF of 443,681,281 as per the given fractions.

GCF of 443,681,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,61,780

LCM of Fractions 55/443,61/681,780/281 is 523380

5 55, 61, 780
11, 61, 156

∴ So the LCM of the given numbers is 5 x 11 x 61 x 156 = 523380

Least Common Multiple of 55,61,780 with GCF Formula

Least Common Multiple of 55,61,780 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 55,61,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,61,780) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,61,780) x common factors =1 x 5 = 5

LCM(55,61,780) = ( 55 × 61 × 780 ) / 5

LCM(55,61,780) = 2616900 / 5

LCM(55,61,780) = 523380


Lets's calculate GCF of 443,681,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523380/1

Therefore the LCM of Fractions 55/443,61/681,780/281 is 523380

Greatest Common Factor of 443,681,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,681,281 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 443,681,281 . The biggest common factor number is the GCF number.
So the greatest common factor 443,681,281 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 55/443, 61/681, 780/281

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 55/443, 61/681, 780/281?

Answer: LCM of Numerators as per given numbers 55/443, 61/681, 780/281 is

LCM of Numerators i.e. for 55,61,780 is 523380

GCF of denominators i.e. for 443,681,281 is 1.

Thus, LCM of Fractions is 523380.Finally, LCM of Fractions for 55/443, 61/681, 780/281 is 523380.