Least Common Multiple of 268/18, 931/58, 414/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/18, 931/58, 414/754 quickly i.e. 25824078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/18, 931/58, 414/754 is 25824078.

LCM(268/18, 931/58, 414/754) = 25824078

LCM of 268/18, 931/58, 414/754

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 268/18,931/58,414/754

Given numbers are 268/18,931/58,414/754

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 268,931,414

Least Common Multiple of Numerators i.e. LCM of 268,931,414 is 51648156.

GCF of Denominators means GCF of 18,58,754 as per the given fractions.

GCF of 18,58,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,931,414

LCM of Fractions 268/18,931/58,414/754 is 25824078

2 268, 931, 414
134, 931, 207

∴ So the LCM of the given numbers is 2 x 134 x 931 x 207 = 51648156

Least Common Multiple of 268,931,414 with GCF Formula

Least Common Multiple of 268,931,414 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 268,931,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,931,414) = 1

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

GCF(268,931,414) x common factors =1 x 2 = 2

LCM(268,931,414) = ( 268 × 931 × 414 ) / 2

LCM(268,931,414) = 103296312 / 2

LCM(268,931,414) = 51648156


Lets's calculate GCF of 18,58,754

2 18, 58, 754
9, 29, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51648156/2

Therefore the LCM of Fractions 268/18,931/58,414/754 is 25824078

Greatest Common Factor of 18,58,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,58,754 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 18,58,754 . The biggest common factor number is the GCF number.
So the greatest common factor 18,58,754 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 268/18, 931/58, 414/754

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 268/18, 931/58, 414/754?

Answer: LCM of Numerators as per given numbers 268/18, 931/58, 414/754 is

LCM of Numerators i.e. for 268,931,414 is 51648156

GCF of denominators i.e. for 18,58,754 is 2.

Thus, LCM of Fractions is 25824078.Finally, LCM of Fractions for 268/18, 931/58, 414/754 is 25824078.