Least Common Multiple of 58/340, 30/102, 838/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/340, 30/102, 838/425 quickly i.e. 364530/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/340, 30/102, 838/425 is 364530/17.

LCM(58/340, 30/102, 838/425) = 364530/17

LCM of 58/340, 30/102, 838/425

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 58/340,30/102,838/425

Given numbers are 58/340,30/102,838/425

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 58,30,838

Least Common Multiple of Numerators i.e. LCM of 58,30,838 is 364530.

GCF of Denominators means GCF of 340,102,425 as per the given fractions.

GCF of 340,102,425 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,30,838

LCM of Fractions 58/340,30/102,838/425 is 364530/17

2 58, 30, 838
29, 15, 419

∴ So the LCM of the given numbers is 2 x 29 x 15 x 419 = 364530

Least Common Multiple of 58,30,838 with GCF Formula

Least Common Multiple of 58,30,838 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 58,30,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,30,838) = 2

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

GCF(58,30,838) x common factors =2 x 2 = 4

LCM(58,30,838) = ( 58 × 30 × 838 ) / 4

LCM(58,30,838) = 1458120 / 4

LCM(58,30,838) = 364530


Lets's calculate GCF of 340,102,425

17 340, 102, 425
20, 6, 25

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364530/17

Therefore the LCM of Fractions 58/340,30/102,838/425 is 364530/17

Greatest Common Factor of 340,102,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,102,425 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 340,102,425 . The biggest common factor number is the GCF number.
So the greatest common factor 340,102,425 is 17.


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 58/340, 30/102, 838/425

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 58/340, 30/102, 838/425?

Answer: LCM of Numerators as per given numbers 58/340, 30/102, 838/425 is

LCM of Numerators i.e. for 58,30,838 is 364530

GCF of denominators i.e. for 340,102,425 is 17.

Thus, LCM of Fractions is 364530/17.Finally, LCM of Fractions for 58/340, 30/102, 838/425 is 364530/17.