Least Common Multiple of 407/84, 347/14, 594/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/84, 347/14, 594/504 quickly i.e. 7626366/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/84, 347/14, 594/504 is 7626366/14.

LCM(407/84, 347/14, 594/504) = 7626366/14

LCM of 407/84, 347/14, 594/504

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 407/84,347/14,594/504

Given numbers are 407/84,347/14,594/504

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 407,347,594

Least Common Multiple of Numerators i.e. LCM of 407,347,594 is 7626366.

GCF of Denominators means GCF of 84,14,504 as per the given fractions.

GCF of 84,14,504 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,347,594

LCM of Fractions 407/84,347/14,594/504 is 7626366/14

11 407, 347, 594
37, 347, 54

∴ So the LCM of the given numbers is 11 x 37 x 347 x 54 = 7626366

Least Common Multiple of 407,347,594 with GCF Formula

Least Common Multiple of 407,347,594 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 407,347,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,347,594) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(407,347,594) x common factors =1 x 11 = 11

LCM(407,347,594) = ( 407 × 347 × 594 ) / 11

LCM(407,347,594) = 83890026 / 11

LCM(407,347,594) = 7626366


Lets's calculate GCF of 84,14,504

2 84, 14, 504
7 42, 7, 252
6, 1, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7626366/14

Therefore the LCM of Fractions 407/84,347/14,594/504 is 7626366/14

Greatest Common Factor of 84,14,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,14,504 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 84,14,504 . The biggest common factor number is the GCF number.
So the greatest common factor 84,14,504 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 407/84, 347/14, 594/504

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 407/84, 347/14, 594/504?

Answer: LCM of Numerators as per given numbers 407/84, 347/14, 594/504 is

LCM of Numerators i.e. for 407,347,594 is 7626366

GCF of denominators i.e. for 84,14,504 is 14.

Thus, LCM of Fractions is 7626366/14.Finally, LCM of Fractions for 407/84, 347/14, 594/504 is 7626366/14.