Least Common Multiple of 558/84, 408/70, 601/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/84, 408/70, 601/280 quickly i.e. 22804344/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/84, 408/70, 601/280 is 22804344/14.

LCM(558/84, 408/70, 601/280) = 22804344/14

LCM of 558/84, 408/70, 601/280

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 558/84,408/70,601/280

Given numbers are 558/84,408/70,601/280

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 558,408,601

Least Common Multiple of Numerators i.e. LCM of 558,408,601 is 22804344.

GCF of Denominators means GCF of 84,70,280 as per the given fractions.

GCF of 84,70,280 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,408,601

LCM of Fractions 558/84,408/70,601/280 is 22804344/14

2 558, 408, 601
3 279, 204, 601
93, 68, 601

∴ So the LCM of the given numbers is 2 x 3 x 93 x 68 x 601 = 22804344

Least Common Multiple of 558,408,601 with GCF Formula

Least Common Multiple of 558,408,601 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 558,408,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,408,601) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(558,408,601) x common factors =1 x 6 = 6

LCM(558,408,601) = ( 558 × 408 × 601 ) / 6

LCM(558,408,601) = 136826064 / 6

LCM(558,408,601) = 22804344


Lets's calculate GCF of 84,70,280

2 84, 70, 280
7 42, 35, 140
6, 5, 20

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22804344/14

Therefore the LCM of Fractions 558/84,408/70,601/280 is 22804344/14

Greatest Common Factor of 84,70,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,70,280 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 84,70,280 . The biggest common factor number is the GCF number.
So the greatest common factor 84,70,280 is 14.


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 558/84, 408/70, 601/280

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 558/84, 408/70, 601/280?

Answer: LCM of Numerators as per given numbers 558/84, 408/70, 601/280 is

LCM of Numerators i.e. for 558,408,601 is 22804344

GCF of denominators i.e. for 84,70,280 is 14.

Thus, LCM of Fractions is 22804344/14.Finally, LCM of Fractions for 558/84, 408/70, 601/280 is 22804344/14.