Least Common Multiple of 34/16, 414/30, 678/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/16, 414/30, 678/376 quickly i.e. 397647 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/16, 414/30, 678/376 is 397647.

LCM(34/16, 414/30, 678/376) = 397647

LCM of 34/16, 414/30, 678/376

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 34/16,414/30,678/376

Given numbers are 34/16,414/30,678/376

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 34,414,678

Least Common Multiple of Numerators i.e. LCM of 34,414,678 is 795294.

GCF of Denominators means GCF of 16,30,376 as per the given fractions.

GCF of 16,30,376 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,414,678

LCM of Fractions 34/16,414/30,678/376 is 397647

2 34, 414, 678
3 17, 207, 339
17, 69, 113

∴ So the LCM of the given numbers is 2 x 3 x 17 x 69 x 113 = 795294

Least Common Multiple of 34,414,678 with GCF Formula

Least Common Multiple of 34,414,678 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 34,414,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,414,678) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(34,414,678) x common factors =2 x 6 = 12

LCM(34,414,678) = ( 34 × 414 × 678 ) / 12

LCM(34,414,678) = 9543528 / 12

LCM(34,414,678) = 795294


Lets's calculate GCF of 16,30,376

2 16, 30, 376
8, 15, 188

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 795294/2

Therefore the LCM of Fractions 34/16,414/30,678/376 is 397647

Greatest Common Factor of 16,30,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,30,376 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 16,30,376 . The biggest common factor number is the GCF number.
So the greatest common factor 16,30,376 is 2.


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 34/16, 414/30, 678/376

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 34/16, 414/30, 678/376?

Answer: LCM of Numerators as per given numbers 34/16, 414/30, 678/376 is

LCM of Numerators i.e. for 34,414,678 is 795294

GCF of denominators i.e. for 16,30,376 is 2.

Thus, LCM of Fractions is 397647.Finally, LCM of Fractions for 34/16, 414/30, 678/376 is 397647.