Least Common Multiple of 385/18, 8690/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/18, 8690/429 quickly i.e. 60830/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/18, 8690/429 is 60830/3.

LCM(385/18, 8690/429) = 60830/3

LCM of 385/18, 8690/429

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 385/18,8690/429

Given numbers are 385/18,8690/429

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 385,8690

Least Common Multiple of Numerators i.e. LCM of 385,8690 is 60830.

GCF of Denominators means GCF of 18,429 as per the given fractions.

GCF of 18,429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,8690

LCM of Fractions 385/18,8690/429 is 60830/3

5 385, 8690
11 77, 1738
7, 158

∴ So the LCM of the given numbers is 5 x 11 x 7 x 158 = 60830

Least Common Multiple of 385,8690 with GCF Formula

Least Common Multiple of 385,8690 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 385,8690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,8690) = 55

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

GCF(385,8690) x common factors =55 x 1 = 55

LCM(385,8690) = ( 385 × 8690 ) / 55

LCM(385,8690) = 3345650 / 55

LCM(385,8690) = 60830


Lets's calculate GCF of 18,429

3 18, 429
6, 143

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60830/3

Therefore the LCM of Fractions 385/18,8690/429 is 60830/3

Greatest Common Factor of 18,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,429 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 18,429 . The biggest common factor number is the GCF number.
So the greatest common factor 18,429 is 3.


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 385/18, 8690/429

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 385/18, 8690/429?

Answer: LCM of Numerators as per given numbers 385/18, 8690/429 is

LCM of Numerators i.e. for 385,8690 is 60830

GCF of denominators i.e. for 18,429 is 3.

Thus, LCM of Fractions is 60830/3.Finally, LCM of Fractions for 385/18, 8690/429 is 60830/3.