Least Common Multiple of 34/616, 3814/8415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/616, 3814/8415 quickly i.e. 64838/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/616, 3814/8415 is 64838/11.

LCM(34/616, 3814/8415) = 64838/11

LCM of 34/616, 3814/8415

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 34/616,3814/8415

Given numbers are 34/616,3814/8415

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 34,3814

Least Common Multiple of Numerators i.e. LCM of 34,3814 is 64838.

GCF of Denominators means GCF of 616,8415 as per the given fractions.

GCF of 616,8415 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,3814

LCM of Fractions 34/616,3814/8415 is 64838/11

2 34, 3814
17, 1907

∴ So the LCM of the given numbers is 2 x 17 x 1907 = 64838

Least Common Multiple of 34,3814 with GCF Formula

Least Common Multiple of 34,3814 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 34,3814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,3814) = 2

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

GCF(34,3814) x common factors =2 x 1 = 2

LCM(34,3814) = ( 34 × 3814 ) / 2

LCM(34,3814) = 129676 / 2

LCM(34,3814) = 64838


Lets's calculate GCF of 616,8415

11 616, 8415
56, 765

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64838/11

Therefore the LCM of Fractions 34/616,3814/8415 is 64838/11

Greatest Common Factor of 616,8415 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,8415 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 8415

List of positive integer factors of 8415 that divides 8415 without a remainder.

1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415

Greatest Common Factor

We found the factors 616,8415 . The biggest common factor number is the GCF number.
So the greatest common factor 616,8415 is 11.


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 34/616, 3814/8415

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 34/616, 3814/8415?

Answer: LCM of Numerators as per given numbers 34/616, 3814/8415 is

LCM of Numerators i.e. for 34,3814 is 64838

GCF of denominators i.e. for 616,8415 is 11.

Thus, LCM of Fractions is 64838/11.Finally, LCM of Fractions for 34/616, 3814/8415 is 64838/11.