Least Common Multiple of 34/623, 61/415, 262/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/623, 61/415, 262/738 quickly i.e. 271694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/623, 61/415, 262/738 is 271694.

LCM(34/623, 61/415, 262/738) = 271694

LCM of 34/623, 61/415, 262/738

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 34/623,61/415,262/738

Given numbers are 34/623,61/415,262/738

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 34,61,262

Least Common Multiple of Numerators i.e. LCM of 34,61,262 is 271694.

GCF of Denominators means GCF of 623,415,738 as per the given fractions.

GCF of 623,415,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,61,262

LCM of Fractions 34/623,61/415,262/738 is 271694

2 34, 61, 262
17, 61, 131

∴ So the LCM of the given numbers is 2 x 17 x 61 x 131 = 271694

Least Common Multiple of 34,61,262 with GCF Formula

Least Common Multiple of 34,61,262 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 34,61,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,61,262) = 1

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

GCF(34,61,262) x common factors =1 x 2 = 2

LCM(34,61,262) = ( 34 × 61 × 262 ) / 2

LCM(34,61,262) = 543388 / 2

LCM(34,61,262) = 271694


Lets's calculate GCF of 623,415,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271694/1

Therefore the LCM of Fractions 34/623,61/415,262/738 is 271694

Greatest Common Factor of 623,415,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,415,738 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 623,415,738 . The biggest common factor number is the GCF number.
So the greatest common factor 623,415,738 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 34/623, 61/415, 262/738

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 34/623, 61/415, 262/738?

Answer: LCM of Numerators as per given numbers 34/623, 61/415, 262/738 is

LCM of Numerators i.e. for 34,61,262 is 271694

GCF of denominators i.e. for 623,415,738 is 1.

Thus, LCM of Fractions is 271694.Finally, LCM of Fractions for 34/623, 61/415, 262/738 is 271694.