Least Common Multiple of 58/67, 543/49, 722/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/67, 543/49, 722/164 quickly i.e. 11369334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/67, 543/49, 722/164 is 11369334.

LCM(58/67, 543/49, 722/164) = 11369334

LCM of 58/67, 543/49, 722/164

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 58/67,543/49,722/164

Given numbers are 58/67,543/49,722/164

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 58,543,722

Least Common Multiple of Numerators i.e. LCM of 58,543,722 is 11369334.

GCF of Denominators means GCF of 67,49,164 as per the given fractions.

GCF of 67,49,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,543,722

LCM of Fractions 58/67,543/49,722/164 is 11369334

2 58, 543, 722
29, 543, 361

∴ So the LCM of the given numbers is 2 x 29 x 543 x 361 = 11369334

Least Common Multiple of 58,543,722 with GCF Formula

Least Common Multiple of 58,543,722 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 58,543,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,543,722) = 1

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

GCF(58,543,722) x common factors =1 x 2 = 2

LCM(58,543,722) = ( 58 × 543 × 722 ) / 2

LCM(58,543,722) = 22738668 / 2

LCM(58,543,722) = 11369334


Lets's calculate GCF of 67,49,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11369334/1

Therefore the LCM of Fractions 58/67,543/49,722/164 is 11369334

Greatest Common Factor of 67,49,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,49,164 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 67,49,164 . The biggest common factor number is the GCF number.
So the greatest common factor 67,49,164 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 58/67, 543/49, 722/164

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 58/67, 543/49, 722/164?

Answer: LCM of Numerators as per given numbers 58/67, 543/49, 722/164 is

LCM of Numerators i.e. for 58,543,722 is 11369334

GCF of denominators i.e. for 67,49,164 is 1.

Thus, LCM of Fractions is 11369334.Finally, LCM of Fractions for 58/67, 543/49, 722/164 is 11369334.