Least Common Multiple of 371/19, 970/32, 602/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/19, 970/32, 602/231 quickly i.e. 15474410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/19, 970/32, 602/231 is 15474410.

LCM(371/19, 970/32, 602/231) = 15474410

LCM of 371/19, 970/32, 602/231

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 371/19,970/32,602/231

Given numbers are 371/19,970/32,602/231

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 371,970,602

Least Common Multiple of Numerators i.e. LCM of 371,970,602 is 15474410.

GCF of Denominators means GCF of 19,32,231 as per the given fractions.

GCF of 19,32,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,970,602

LCM of Fractions 371/19,970/32,602/231 is 15474410

2 371, 970, 602
7 371, 485, 301
53, 485, 43

∴ So the LCM of the given numbers is 2 x 7 x 53 x 485 x 43 = 15474410

Least Common Multiple of 371,970,602 with GCF Formula

Least Common Multiple of 371,970,602 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 371,970,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,970,602) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(371,970,602) x common factors =1 x 14 = 14

LCM(371,970,602) = ( 371 × 970 × 602 ) / 14

LCM(371,970,602) = 216641740 / 14

LCM(371,970,602) = 15474410


Lets's calculate GCF of 19,32,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15474410/1

Therefore the LCM of Fractions 371/19,970/32,602/231 is 15474410

Greatest Common Factor of 19,32,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,32,231 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 19,32,231 . The biggest common factor number is the GCF number.
So the greatest common factor 19,32,231 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 371/19, 970/32, 602/231

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 371/19, 970/32, 602/231?

Answer: LCM of Numerators as per given numbers 371/19, 970/32, 602/231 is

LCM of Numerators i.e. for 371,970,602 is 15474410

GCF of denominators i.e. for 19,32,231 is 1.

Thus, LCM of Fractions is 15474410.Finally, LCM of Fractions for 371/19, 970/32, 602/231 is 15474410.