Least Common Multiple of 58/462, 10/105, 326/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/462, 10/105, 326/752 quickly i.e. 47270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/462, 10/105, 326/752 is 47270.

LCM(58/462, 10/105, 326/752) = 47270

LCM of 58/462, 10/105, 326/752

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 58/462,10/105,326/752

Given numbers are 58/462,10/105,326/752

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 58,10,326

Least Common Multiple of Numerators i.e. LCM of 58,10,326 is 47270.

GCF of Denominators means GCF of 462,105,752 as per the given fractions.

GCF of 462,105,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,10,326

LCM of Fractions 58/462,10/105,326/752 is 47270

2 58, 10, 326
29, 5, 163

∴ So the LCM of the given numbers is 2 x 29 x 5 x 163 = 47270

Least Common Multiple of 58,10,326 with GCF Formula

Least Common Multiple of 58,10,326 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 58,10,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,10,326) = 2

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

GCF(58,10,326) x common factors =2 x 2 = 4

LCM(58,10,326) = ( 58 × 10 × 326 ) / 4

LCM(58,10,326) = 189080 / 4

LCM(58,10,326) = 47270


Lets's calculate GCF of 462,105,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47270/1

Therefore the LCM of Fractions 58/462,10/105,326/752 is 47270

Greatest Common Factor of 462,105,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,105,752 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 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 462,105,752 . The biggest common factor number is the GCF number.
So the greatest common factor 462,105,752 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 58/462, 10/105, 326/752

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 58/462, 10/105, 326/752?

Answer: LCM of Numerators as per given numbers 58/462, 10/105, 326/752 is

LCM of Numerators i.e. for 58,10,326 is 47270

GCF of denominators i.e. for 462,105,752 is 1.

Thus, LCM of Fractions is 47270.Finally, LCM of Fractions for 58/462, 10/105, 326/752 is 47270.