Least Common Multiple of 23/19, 42/35, 614/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/19, 42/35, 614/202 quickly i.e. 296562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/19, 42/35, 614/202 is 296562.

LCM(23/19, 42/35, 614/202) = 296562

LCM of 23/19, 42/35, 614/202

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 23/19,42/35,614/202

Given numbers are 23/19,42/35,614/202

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 23,42,614

Least Common Multiple of Numerators i.e. LCM of 23,42,614 is 296562.

GCF of Denominators means GCF of 19,35,202 as per the given fractions.

GCF of 19,35,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,42,614

LCM of Fractions 23/19,42/35,614/202 is 296562

2 23, 42, 614
23, 21, 307

∴ So the LCM of the given numbers is 2 x 23 x 21 x 307 = 296562

Least Common Multiple of 23,42,614 with GCF Formula

Least Common Multiple of 23,42,614 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 23,42,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,42,614) = 1

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

GCF(23,42,614) x common factors =1 x 2 = 2

LCM(23,42,614) = ( 23 × 42 × 614 ) / 2

LCM(23,42,614) = 593124 / 2

LCM(23,42,614) = 296562


Lets's calculate GCF of 19,35,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296562/1

Therefore the LCM of Fractions 23/19,42/35,614/202 is 296562

Greatest Common Factor of 19,35,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,35,202 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 19,35,202 . The biggest common factor number is the GCF number.
So the greatest common factor 19,35,202 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 23/19, 42/35, 614/202

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 23/19, 42/35, 614/202?

Answer: LCM of Numerators as per given numbers 23/19, 42/35, 614/202 is

LCM of Numerators i.e. for 23,42,614 is 296562

GCF of denominators i.e. for 19,35,202 is 1.

Thus, LCM of Fractions is 296562.Finally, LCM of Fractions for 23/19, 42/35, 614/202 is 296562.