Least Common Multiple of 429/370, 201/399, 335/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/370, 201/399, 335/715 quickly i.e. 143715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/370, 201/399, 335/715 is 143715.

LCM(429/370, 201/399, 335/715) = 143715

LCM of 429/370, 201/399, 335/715

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 429/370,201/399,335/715

Given numbers are 429/370,201/399,335/715

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 429,201,335

Least Common Multiple of Numerators i.e. LCM of 429,201,335 is 143715.

GCF of Denominators means GCF of 370,399,715 as per the given fractions.

GCF of 370,399,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,201,335

LCM of Fractions 429/370,201/399,335/715 is 143715

3 429, 201, 335
67 143, 67, 335
143, 1, 5

∴ So the LCM of the given numbers is 3 x 67 x 143 x 1 x 5 = 143715

Least Common Multiple of 429,201,335 with GCF Formula

Least Common Multiple of 429,201,335 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 429,201,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,201,335) = 1

common factors(in case of two or more numbers have common factors) = 201

GCF(429,201,335) x common factors =1 x 201 = 201

LCM(429,201,335) = ( 429 × 201 × 335 ) / 201

LCM(429,201,335) = 28886715 / 201

LCM(429,201,335) = 143715


Lets's calculate GCF of 370,399,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143715/1

Therefore the LCM of Fractions 429/370,201/399,335/715 is 143715

Greatest Common Factor of 370,399,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,399,715 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 370,399,715 . The biggest common factor number is the GCF number.
So the greatest common factor 370,399,715 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 429/370, 201/399, 335/715

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 429/370, 201/399, 335/715?

Answer: LCM of Numerators as per given numbers 429/370, 201/399, 335/715 is

LCM of Numerators i.e. for 429,201,335 is 143715

GCF of denominators i.e. for 370,399,715 is 1.

Thus, LCM of Fractions is 143715.Finally, LCM of Fractions for 429/370, 201/399, 335/715 is 143715.