Least Common Multiple of 89/72, 63/16, 786/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/72, 63/16, 786/464 quickly i.e. 1469034/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/72, 63/16, 786/464 is 1469034/8.

LCM(89/72, 63/16, 786/464) = 1469034/8

LCM of 89/72, 63/16, 786/464

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 89/72,63/16,786/464

Given numbers are 89/72,63/16,786/464

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 89,63,786

Least Common Multiple of Numerators i.e. LCM of 89,63,786 is 1469034.

GCF of Denominators means GCF of 72,16,464 as per the given fractions.

GCF of 72,16,464 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,63,786

LCM of Fractions 89/72,63/16,786/464 is 1469034/8

3 89, 63, 786
89, 21, 262

∴ So the LCM of the given numbers is 3 x 89 x 21 x 262 = 1469034

Least Common Multiple of 89,63,786 with GCF Formula

Least Common Multiple of 89,63,786 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 89,63,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,63,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,63,786) x common factors =1 x 3 = 3

LCM(89,63,786) = ( 89 × 63 × 786 ) / 3

LCM(89,63,786) = 4407102 / 3

LCM(89,63,786) = 1469034


Lets's calculate GCF of 72,16,464

2 72, 16, 464
2 36, 8, 232
2 18, 4, 116
9, 2, 58

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1469034/8

Therefore the LCM of Fractions 89/72,63/16,786/464 is 1469034/8

Greatest Common Factor of 72,16,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,16,464 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 72,16,464 . The biggest common factor number is the GCF number.
So the greatest common factor 72,16,464 is 8.


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 89/72, 63/16, 786/464

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 89/72, 63/16, 786/464?

Answer: LCM of Numerators as per given numbers 89/72, 63/16, 786/464 is

LCM of Numerators i.e. for 89,63,786 is 1469034

GCF of denominators i.e. for 72,16,464 is 8.

Thus, LCM of Fractions is 1469034/8.Finally, LCM of Fractions for 89/72, 63/16, 786/464 is 1469034/8.