Least Common Multiple of 34/340, 83/678, 774/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/340, 83/678, 774/422 quickly i.e. 546057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/340, 83/678, 774/422 is 546057.

LCM(34/340, 83/678, 774/422) = 546057

LCM of 34/340, 83/678, 774/422

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 34/340,83/678,774/422

Given numbers are 34/340,83/678,774/422

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 34,83,774

Least Common Multiple of Numerators i.e. LCM of 34,83,774 is 1092114.

GCF of Denominators means GCF of 340,678,422 as per the given fractions.

GCF of 340,678,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,83,774

LCM of Fractions 34/340,83/678,774/422 is 546057

2 34, 83, 774
17, 83, 387

∴ So the LCM of the given numbers is 2 x 17 x 83 x 387 = 1092114

Least Common Multiple of 34,83,774 with GCF Formula

Least Common Multiple of 34,83,774 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 34,83,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,83,774) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,83,774) x common factors =1 x 2 = 2

LCM(34,83,774) = ( 34 × 83 × 774 ) / 2

LCM(34,83,774) = 2184228 / 2

LCM(34,83,774) = 1092114


Lets's calculate GCF of 340,678,422

2 340, 678, 422
170, 339, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1092114/2

Therefore the LCM of Fractions 34/340,83/678,774/422 is 546057

Greatest Common Factor of 340,678,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,678,422 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 340,678,422 . The biggest common factor number is the GCF number.
So the greatest common factor 340,678,422 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 34/340, 83/678, 774/422

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 34/340, 83/678, 774/422?

Answer: LCM of Numerators as per given numbers 34/340, 83/678, 774/422 is

LCM of Numerators i.e. for 34,83,774 is 1092114

GCF of denominators i.e. for 340,678,422 is 2.

Thus, LCM of Fractions is 546057.Finally, LCM of Fractions for 34/340, 83/678, 774/422 is 546057.