Least Common Multiple of 15/84, 85/62, 63/61, 88/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/84, 85/62, 63/61, 88/329 quickly i.e. 471240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/84, 85/62, 63/61, 88/329 is 471240.

LCM(15/84, 85/62, 63/61, 88/329) = 471240

LCM of 15/84, 85/62, 63/61, 88/329

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 15/84,85/62,63/61,88/329

Given numbers are 15/84,85/62,63/61,88/329

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 15,85,63,88

Least Common Multiple of Numerators i.e. LCM of 15,85,63,88 is 471240.

GCF of Denominators means GCF of 84,62,61,329 as per the given fractions.

GCF of 84,62,61,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,85,63,88

LCM of Fractions 15/84,85/62,63/61,88/329 is 471240

3 15, 85, 63, 88
5 5, 85, 21, 88
1, 17, 21, 88

∴ So the LCM of the given numbers is 3 x 5 x 1 x 17 x 21 x 88 = 471240

Least Common Multiple of 15,85,63,88 with GCF Formula

Least Common Multiple of 15,85,63,88 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 15,85,63,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,85,63,88) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,85,63,88) x common factors =1 x 15 = 15

LCM(15,85,63,88) = ( 15 × 85 × 63 × 88 ) / 15

LCM(15,85,63,88) = 7068600 / 15

LCM(15,85,63,88) = 471240


Lets's calculate GCF of 84,62,61,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471240/1

Therefore the LCM of Fractions 15/84,85/62,63/61,88/329 is 471240

Greatest Common Factor of 84,62,61,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,62,61,329 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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 84,62,61,329 . The biggest common factor number is the GCF number.
So the greatest common factor 84,62,61,329 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/84, 85/62, 63/61, 88/329

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 15/84, 85/62, 63/61, 88/329?

Answer: LCM of Numerators as per given numbers 15/84, 85/62, 63/61, 88/329 is

LCM of Numerators i.e. for 15,85,63,88 is 471240

GCF of denominators i.e. for 84,62,61,329 is 1.

Thus, LCM of Fractions is 471240.Finally, LCM of Fractions for 15/84, 85/62, 63/61, 88/329 is 471240.