Least Common Multiple of 838/58, 285/3451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/58, 285/3451 quickly i.e. 238830/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/58, 285/3451 is 238830/29.

LCM(838/58, 285/3451) = 238830/29

LCM of 838/58, 285/3451

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 838/58,285/3451

Given numbers are 838/58,285/3451

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 838,285

Least Common Multiple of Numerators i.e. LCM of 838,285 is 238830.

GCF of Denominators means GCF of 58,3451 as per the given fractions.

GCF of 58,3451 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,285

LCM of Fractions 838/58,285/3451 is 238830/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 238830

Least Common Multiple of 838,285 with GCF Formula

Least Common Multiple of 838,285 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 838,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,285) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(838,285) x common factors =1 x 1 = 1

LCM(838,285) = ( 838 × 285 ) / 1

LCM(838,285) = 238830 / 1

LCM(838,285) = 238830


Lets's calculate GCF of 58,3451

29 58, 3451
2, 119

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238830/29

Therefore the LCM of Fractions 838/58,285/3451 is 238830/29

Greatest Common Factor of 58,3451 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,3451 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 3451

List of positive integer factors of 3451 that divides 3451 without a remainder.

1,7,17,29,119,203,493,3451

Greatest Common Factor

We found the factors 58,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 58,3451 is 29.


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 838/58, 285/3451

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 838/58, 285/3451?

Answer: LCM of Numerators as per given numbers 838/58, 285/3451 is

LCM of Numerators i.e. for 838,285 is 238830

GCF of denominators i.e. for 58,3451 is 29.

Thus, LCM of Fractions is 238830/29.Finally, LCM of Fractions for 838/58, 285/3451 is 238830/29.