Least Common Multiple of 429/95, 312/8414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/95, 312/8414 quickly i.e. 3432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/95, 312/8414 is 3432.

LCM(429/95, 312/8414) = 3432

LCM of 429/95, 312/8414

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 429/95,312/8414

Given numbers are 429/95,312/8414

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 429,312

Least Common Multiple of Numerators i.e. LCM of 429,312 is 3432.

GCF of Denominators means GCF of 95,8414 as per the given fractions.

GCF of 95,8414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,312

LCM of Fractions 429/95,312/8414 is 3432

3 429, 312
13 143, 104
11, 8

∴ So the LCM of the given numbers is 3 x 13 x 11 x 8 = 3432

Least Common Multiple of 429,312 with GCF Formula

Least Common Multiple of 429,312 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 429,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,312) = 39

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

GCF(429,312) x common factors =39 x 1 = 39

LCM(429,312) = ( 429 × 312 ) / 39

LCM(429,312) = 133848 / 39

LCM(429,312) = 3432


Lets's calculate GCF of 95,8414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3432/1

Therefore the LCM of Fractions 429/95,312/8414 is 3432

Greatest Common Factor of 95,8414 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,8414 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 8414

List of positive integer factors of 8414 that divides 8414 without a remainder.

1,2,7,14,601,1202,4207,8414

Greatest Common Factor

We found the factors 95,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 95,8414 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 429/95, 312/8414

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 429/95, 312/8414?

Answer: LCM of Numerators as per given numbers 429/95, 312/8414 is

LCM of Numerators i.e. for 429,312 is 3432

GCF of denominators i.e. for 95,8414 is 1.

Thus, LCM of Fractions is 3432.Finally, LCM of Fractions for 429/95, 312/8414 is 3432.