Least Common Multiple of 34/815, 318/545, 626/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/815, 318/545, 626/152 quickly i.e. 1692078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/815, 318/545, 626/152 is 1692078.

LCM(34/815, 318/545, 626/152) = 1692078

LCM of 34/815, 318/545, 626/152

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 34/815,318/545,626/152

Given numbers are 34/815,318/545,626/152

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 34,318,626

Least Common Multiple of Numerators i.e. LCM of 34,318,626 is 1692078.

GCF of Denominators means GCF of 815,545,152 as per the given fractions.

GCF of 815,545,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,318,626

LCM of Fractions 34/815,318/545,626/152 is 1692078

2 34, 318, 626
17, 159, 313

∴ So the LCM of the given numbers is 2 x 17 x 159 x 313 = 1692078

Least Common Multiple of 34,318,626 with GCF Formula

Least Common Multiple of 34,318,626 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 34,318,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,318,626) = 2

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

GCF(34,318,626) x common factors =2 x 2 = 4

LCM(34,318,626) = ( 34 × 318 × 626 ) / 4

LCM(34,318,626) = 6768312 / 4

LCM(34,318,626) = 1692078


Lets's calculate GCF of 815,545,152

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1692078/1

Therefore the LCM of Fractions 34/815,318/545,626/152 is 1692078

Greatest Common Factor of 815,545,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,545,152 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 815,545,152 . The biggest common factor number is the GCF number.
So the greatest common factor 815,545,152 is 1.


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 34/815, 318/545, 626/152

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 34/815, 318/545, 626/152?

Answer: LCM of Numerators as per given numbers 34/815, 318/545, 626/152 is

LCM of Numerators i.e. for 34,318,626 is 1692078

GCF of denominators i.e. for 815,545,152 is 1.

Thus, LCM of Fractions is 1692078.Finally, LCM of Fractions for 34/815, 318/545, 626/152 is 1692078.