Least Common Multiple of 44/462, 92/596, 936/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/462, 92/596, 936/967 quickly i.e. 236808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/462, 92/596, 936/967 is 236808.

LCM(44/462, 92/596, 936/967) = 236808

LCM of 44/462, 92/596, 936/967

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 44/462,92/596,936/967

Given numbers are 44/462,92/596,936/967

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 44,92,936

Least Common Multiple of Numerators i.e. LCM of 44,92,936 is 236808.

GCF of Denominators means GCF of 462,596,967 as per the given fractions.

GCF of 462,596,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,92,936

LCM of Fractions 44/462,92/596,936/967 is 236808

2 44, 92, 936
2 22, 46, 468
11, 23, 234

∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 234 = 236808

Least Common Multiple of 44,92,936 with GCF Formula

Least Common Multiple of 44,92,936 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 44,92,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,92,936) = 4

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

GCF(44,92,936) x common factors =4 x 4 = 16

LCM(44,92,936) = ( 44 × 92 × 936 ) / 16

LCM(44,92,936) = 3788928 / 16

LCM(44,92,936) = 236808


Lets's calculate GCF of 462,596,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236808/1

Therefore the LCM of Fractions 44/462,92/596,936/967 is 236808

Greatest Common Factor of 462,596,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,596,967 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 462,596,967 . The biggest common factor number is the GCF number.
So the greatest common factor 462,596,967 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 44/462, 92/596, 936/967

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 44/462, 92/596, 936/967?

Answer: LCM of Numerators as per given numbers 44/462, 92/596, 936/967 is

LCM of Numerators i.e. for 44,92,936 is 236808

GCF of denominators i.e. for 462,596,967 is 1.

Thus, LCM of Fractions is 236808.Finally, LCM of Fractions for 44/462, 92/596, 936/967 is 236808.