Least Common Multiple of 84/426, 16/413, 964/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/426, 16/413, 964/632 quickly i.e. 80976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/426, 16/413, 964/632 is 80976.

LCM(84/426, 16/413, 964/632) = 80976

LCM of 84/426, 16/413, 964/632

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 84/426,16/413,964/632

Given numbers are 84/426,16/413,964/632

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 84,16,964

Least Common Multiple of Numerators i.e. LCM of 84,16,964 is 80976.

GCF of Denominators means GCF of 426,413,632 as per the given fractions.

GCF of 426,413,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,16,964

LCM of Fractions 84/426,16/413,964/632 is 80976

2 84, 16, 964
2 42, 8, 482
21, 4, 241

∴ So the LCM of the given numbers is 2 x 2 x 21 x 4 x 241 = 80976

Least Common Multiple of 84,16,964 with GCF Formula

Least Common Multiple of 84,16,964 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 84,16,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,16,964) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(84,16,964) x common factors =4 x 4 = 16

LCM(84,16,964) = ( 84 × 16 × 964 ) / 16

LCM(84,16,964) = 1295616 / 16

LCM(84,16,964) = 80976


Lets's calculate GCF of 426,413,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80976/1

Therefore the LCM of Fractions 84/426,16/413,964/632 is 80976

Greatest Common Factor of 426,413,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,413,632 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 426,413,632 . The biggest common factor number is the GCF number.
So the greatest common factor 426,413,632 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 84/426, 16/413, 964/632

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 84/426, 16/413, 964/632?

Answer: LCM of Numerators as per given numbers 84/426, 16/413, 964/632 is

LCM of Numerators i.e. for 84,16,964 is 80976

GCF of denominators i.e. for 426,413,632 is 1.

Thus, LCM of Fractions is 80976.Finally, LCM of Fractions for 84/426, 16/413, 964/632 is 80976.