Least Common Multiple of 164/19, 164/37, 574/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/19, 164/37, 574/611 quickly i.e. 1148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/19, 164/37, 574/611 is 1148.

LCM(164/19, 164/37, 574/611) = 1148

LCM of 164/19, 164/37, 574/611

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 164/19,164/37,574/611

Given numbers are 164/19,164/37,574/611

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 164,164,574

Least Common Multiple of Numerators i.e. LCM of 164,164,574 is 1148.

GCF of Denominators means GCF of 19,37,611 as per the given fractions.

GCF of 19,37,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,164,574

LCM of Fractions 164/19,164/37,574/611 is 1148

2 164, 164, 574
2 82, 82, 287
41 41, 41, 287
1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 41 x 1 x 1 x 7 = 1148

Least Common Multiple of 164,164,574 with GCF Formula

Least Common Multiple of 164,164,574 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 164,164,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,164,574) = 82

common factors(in case of two or more numbers have common factors) = 164

GCF(164,164,574) x common factors =82 x 164 = 13448

LCM(164,164,574) = ( 164 × 164 × 574 ) / 13448

LCM(164,164,574) = 15438304 / 13448

LCM(164,164,574) = 1148


Lets's calculate GCF of 19,37,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1148/1

Therefore the LCM of Fractions 164/19,164/37,574/611 is 1148

Greatest Common Factor of 19,37,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,37,611 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 19,37,611 . The biggest common factor number is the GCF number.
So the greatest common factor 19,37,611 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 164/19, 164/37, 574/611

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 164/19, 164/37, 574/611?

Answer: LCM of Numerators as per given numbers 164/19, 164/37, 574/611 is

LCM of Numerators i.e. for 164,164,574 is 1148

GCF of denominators i.e. for 19,37,611 is 1.

Thus, LCM of Fractions is 1148.Finally, LCM of Fractions for 164/19, 164/37, 574/611 is 1148.