Least Common Multiple of 24/46, 358/16, 262/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/46, 358/16, 262/399 quickly i.e. 562776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/46, 358/16, 262/399 is 562776.

LCM(24/46, 358/16, 262/399) = 562776

LCM of 24/46, 358/16, 262/399

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 24/46,358/16,262/399

Given numbers are 24/46,358/16,262/399

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 24,358,262

Least Common Multiple of Numerators i.e. LCM of 24,358,262 is 562776.

GCF of Denominators means GCF of 46,16,399 as per the given fractions.

GCF of 46,16,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,358,262

LCM of Fractions 24/46,358/16,262/399 is 562776

2 24, 358, 262
12, 179, 131

∴ So the LCM of the given numbers is 2 x 12 x 179 x 131 = 562776

Least Common Multiple of 24,358,262 with GCF Formula

Least Common Multiple of 24,358,262 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 24,358,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,358,262) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(24,358,262) x common factors =2 x 2 = 4

LCM(24,358,262) = ( 24 × 358 × 262 ) / 4

LCM(24,358,262) = 2251104 / 4

LCM(24,358,262) = 562776


Lets's calculate GCF of 46,16,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562776/1

Therefore the LCM of Fractions 24/46,358/16,262/399 is 562776

Greatest Common Factor of 46,16,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,16,399 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 16

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

1,2,4,8,16

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 46,16,399 . The biggest common factor number is the GCF number.
So the greatest common factor 46,16,399 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 24/46, 358/16, 262/399

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 24/46, 358/16, 262/399?

Answer: LCM of Numerators as per given numbers 24/46, 358/16, 262/399 is

LCM of Numerators i.e. for 24,358,262 is 562776

GCF of denominators i.e. for 46,16,399 is 1.

Thus, LCM of Fractions is 562776.Finally, LCM of Fractions for 24/46, 358/16, 262/399 is 562776.