Least Common Multiple of 34/42, 76/38, 955/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/42, 76/38, 955/816 quickly i.e. 616930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/42, 76/38, 955/816 is 616930.

LCM(34/42, 76/38, 955/816) = 616930

LCM of 34/42, 76/38, 955/816

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 34/42,76/38,955/816

Given numbers are 34/42,76/38,955/816

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 34,76,955

Least Common Multiple of Numerators i.e. LCM of 34,76,955 is 1233860.

GCF of Denominators means GCF of 42,38,816 as per the given fractions.

GCF of 42,38,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,76,955

LCM of Fractions 34/42,76/38,955/816 is 616930

2 34, 76, 955
17, 38, 955

∴ So the LCM of the given numbers is 2 x 17 x 38 x 955 = 1233860

Least Common Multiple of 34,76,955 with GCF Formula

Least Common Multiple of 34,76,955 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 34,76,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,76,955) = 1

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

GCF(34,76,955) x common factors =1 x 2 = 2

LCM(34,76,955) = ( 34 × 76 × 955 ) / 2

LCM(34,76,955) = 2467720 / 2

LCM(34,76,955) = 1233860


Lets's calculate GCF of 42,38,816

2 42, 38, 816
21, 19, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1233860/2

Therefore the LCM of Fractions 34/42,76/38,955/816 is 616930

Greatest Common Factor of 42,38,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,38,816 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 38

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

1,2,19,38

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 42,38,816 . The biggest common factor number is the GCF number.
So the greatest common factor 42,38,816 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 34/42, 76/38, 955/816

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 34/42, 76/38, 955/816?

Answer: LCM of Numerators as per given numbers 34/42, 76/38, 955/816 is

LCM of Numerators i.e. for 34,76,955 is 1233860

GCF of denominators i.e. for 42,38,816 is 2.

Thus, LCM of Fractions is 616930.Finally, LCM of Fractions for 34/42, 76/38, 955/816 is 616930.