Least Common Multiple of 34/22, 84/70, 58/38, 69/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/22, 84/70, 58/38, 69/656 quickly i.e. 476238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/22, 84/70, 58/38, 69/656 is 476238.

LCM(34/22, 84/70, 58/38, 69/656) = 476238

LCM of 34/22, 84/70, 58/38, 69/656

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 34/22,84/70,58/38,69/656

Given numbers are 34/22,84/70,58/38,69/656

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 34,84,58,69

Least Common Multiple of Numerators i.e. LCM of 34,84,58,69 is 952476.

GCF of Denominators means GCF of 22,70,38,656 as per the given fractions.

GCF of 22,70,38,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,84,58,69

LCM of Fractions 34/22,84/70,58/38,69/656 is 476238

2 34, 84, 58, 69
3 17, 42, 29, 69
17, 14, 29, 23

∴ So the LCM of the given numbers is 2 x 3 x 17 x 14 x 29 x 23 = 952476

Least Common Multiple of 34,84,58,69 with GCF Formula

Least Common Multiple of 34,84,58,69 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 34,84,58,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,84,58,69) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(34,84,58,69) x common factors =1 x 12 = 12

LCM(34,84,58,69) = ( 34 × 84 × 58 × 69 ) / 12

LCM(34,84,58,69) = 11429712 / 12

LCM(34,84,58,69) = 952476


Lets's calculate GCF of 22,70,38,656

2 22, 70, 38, 656
11, 35, 19, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952476/2

Therefore the LCM of Fractions 34/22,84/70,58/38,69/656 is 476238

Greatest Common Factor of 22,70,38,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,70,38,656 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 22,70,38,656 . The biggest common factor number is the GCF number.
So the greatest common factor 22,70,38,656 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 34/22, 84/70, 58/38, 69/656

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 34/22, 84/70, 58/38, 69/656?

Answer: LCM of Numerators as per given numbers 34/22, 84/70, 58/38, 69/656 is

LCM of Numerators i.e. for 34,84,58,69 is 952476

GCF of denominators i.e. for 22,70,38,656 is 2.

Thus, LCM of Fractions is 476238.Finally, LCM of Fractions for 34/22, 84/70, 58/38, 69/656 is 476238.