Least Common Multiple of 219/84, 730/35, 362/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/84, 730/35, 362/464 quickly i.e. 396390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/84, 730/35, 362/464 is 396390.

LCM(219/84, 730/35, 362/464) = 396390

LCM of 219/84, 730/35, 362/464

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 219/84,730/35,362/464

Given numbers are 219/84,730/35,362/464

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 219,730,362

Least Common Multiple of Numerators i.e. LCM of 219,730,362 is 396390.

GCF of Denominators means GCF of 84,35,464 as per the given fractions.

GCF of 84,35,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,730,362

LCM of Fractions 219/84,730/35,362/464 is 396390

2 219, 730, 362
73 219, 365, 181
3, 5, 181

∴ So the LCM of the given numbers is 2 x 73 x 3 x 5 x 181 = 396390

Least Common Multiple of 219,730,362 with GCF Formula

Least Common Multiple of 219,730,362 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 219,730,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,730,362) = 1

common factors(in case of two or more numbers have common factors) = 146

GCF(219,730,362) x common factors =1 x 146 = 146

LCM(219,730,362) = ( 219 × 730 × 362 ) / 146

LCM(219,730,362) = 57872940 / 146

LCM(219,730,362) = 396390


Lets's calculate GCF of 84,35,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396390/1

Therefore the LCM of Fractions 219/84,730/35,362/464 is 396390

Greatest Common Factor of 84,35,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,35,464 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 84,35,464 . The biggest common factor number is the GCF number.
So the greatest common factor 84,35,464 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 219/84, 730/35, 362/464

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 219/84, 730/35, 362/464?

Answer: LCM of Numerators as per given numbers 219/84, 730/35, 362/464 is

LCM of Numerators i.e. for 219,730,362 is 396390

GCF of denominators i.e. for 84,35,464 is 1.

Thus, LCM of Fractions is 396390.Finally, LCM of Fractions for 219/84, 730/35, 362/464 is 396390.