Least Common Multiple of 34/636, 9238/3070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/636, 9238/3070 quickly i.e. 78523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/636, 9238/3070 is 78523.

LCM(34/636, 9238/3070) = 78523

LCM of 34/636, 9238/3070

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 34/636,9238/3070

Given numbers are 34/636,9238/3070

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 34,9238

Least Common Multiple of Numerators i.e. LCM of 34,9238 is 157046.

GCF of Denominators means GCF of 636,3070 as per the given fractions.

GCF of 636,3070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,9238

LCM of Fractions 34/636,9238/3070 is 78523

2 34, 9238
17, 4619

∴ So the LCM of the given numbers is 2 x 17 x 4619 = 157046

Least Common Multiple of 34,9238 with GCF Formula

Least Common Multiple of 34,9238 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 34,9238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,9238) = 2

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

GCF(34,9238) x common factors =2 x 1 = 2

LCM(34,9238) = ( 34 × 9238 ) / 2

LCM(34,9238) = 314092 / 2

LCM(34,9238) = 157046


Lets's calculate GCF of 636,3070

2 636, 3070
318, 1535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157046/2

Therefore the LCM of Fractions 34/636,9238/3070 is 78523

Greatest Common Factor of 636,3070 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,3070 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 3070

List of positive integer factors of 3070 that divides 3070 without a remainder.

1,2,5,10,307,614,1535,3070

Greatest Common Factor

We found the factors 636,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 636,3070 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 34/636, 9238/3070

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 34/636, 9238/3070?

Answer: LCM of Numerators as per given numbers 34/636, 9238/3070 is

LCM of Numerators i.e. for 34,9238 is 157046

GCF of denominators i.e. for 636,3070 is 2.

Thus, LCM of Fractions is 78523.Finally, LCM of Fractions for 34/636, 9238/3070 is 78523.