Least Common Multiple of 238/926, 530/162, 414/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/926, 530/162, 414/340 quickly i.e. 6527745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/926, 530/162, 414/340 is 6527745.

LCM(238/926, 530/162, 414/340) = 6527745

LCM of 238/926, 530/162, 414/340

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 238/926,530/162,414/340

Given numbers are 238/926,530/162,414/340

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 238,530,414

Least Common Multiple of Numerators i.e. LCM of 238,530,414 is 13055490.

GCF of Denominators means GCF of 926,162,340 as per the given fractions.

GCF of 926,162,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,530,414

LCM of Fractions 238/926,530/162,414/340 is 6527745

2 238, 530, 414
119, 265, 207

∴ So the LCM of the given numbers is 2 x 119 x 265 x 207 = 13055490

Least Common Multiple of 238,530,414 with GCF Formula

Least Common Multiple of 238,530,414 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 238,530,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,530,414) = 2

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

GCF(238,530,414) x common factors =2 x 2 = 4

LCM(238,530,414) = ( 238 × 530 × 414 ) / 4

LCM(238,530,414) = 52221960 / 4

LCM(238,530,414) = 13055490


Lets's calculate GCF of 926,162,340

2 926, 162, 340
463, 81, 170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13055490/2

Therefore the LCM of Fractions 238/926,530/162,414/340 is 6527745

Greatest Common Factor of 926,162,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,162,340 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 926,162,340 . The biggest common factor number is the GCF number.
So the greatest common factor 926,162,340 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 238/926, 530/162, 414/340

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 238/926, 530/162, 414/340?

Answer: LCM of Numerators as per given numbers 238/926, 530/162, 414/340 is

LCM of Numerators i.e. for 238,530,414 is 13055490

GCF of denominators i.e. for 926,162,340 is 2.

Thus, LCM of Fractions is 6527745.Finally, LCM of Fractions for 238/926, 530/162, 414/340 is 6527745.