Least Common Multiple of 58/852, 43/364, 461/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/852, 43/364, 461/344 quickly i.e. 1149734/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/852, 43/364, 461/344 is 1149734/4.

LCM(58/852, 43/364, 461/344) = 1149734/4

LCM of 58/852, 43/364, 461/344

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 58/852,43/364,461/344

Given numbers are 58/852,43/364,461/344

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 58,43,461

Least Common Multiple of Numerators i.e. LCM of 58,43,461 is 1149734.

GCF of Denominators means GCF of 852,364,344 as per the given fractions.

GCF of 852,364,344 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,43,461

LCM of Fractions 58/852,43/364,461/344 is 1149734/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1149734

Least Common Multiple of 58,43,461 with GCF Formula

Least Common Multiple of 58,43,461 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 58,43,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,43,461) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(58,43,461) x common factors =1 x 1 = 1

LCM(58,43,461) = ( 58 × 43 × 461 ) / 1

LCM(58,43,461) = 1149734 / 1

LCM(58,43,461) = 1149734


Lets's calculate GCF of 852,364,344

2 852, 364, 344
2 426, 182, 172
213, 91, 86

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1149734/4

Therefore the LCM of Fractions 58/852,43/364,461/344 is 1149734/4

Greatest Common Factor of 852,364,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,364,344 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 852,364,344 . The biggest common factor number is the GCF number.
So the greatest common factor 852,364,344 is 4.


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 58/852, 43/364, 461/344

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 58/852, 43/364, 461/344?

Answer: LCM of Numerators as per given numbers 58/852, 43/364, 461/344 is

LCM of Numerators i.e. for 58,43,461 is 1149734

GCF of denominators i.e. for 852,364,344 is 4.

Thus, LCM of Fractions is 1149734/4.Finally, LCM of Fractions for 58/852, 43/364, 461/344 is 1149734/4.