Least Common Multiple of 29/238, 61/476, 879/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/238, 61/476, 879/266 quickly i.e. 1554951/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/238, 61/476, 879/266 is 1554951/14.

LCM(29/238, 61/476, 879/266) = 1554951/14

LCM of 29/238, 61/476, 879/266

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 29/238,61/476,879/266

Given numbers are 29/238,61/476,879/266

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 29,61,879

Least Common Multiple of Numerators i.e. LCM of 29,61,879 is 1554951.

GCF of Denominators means GCF of 238,476,266 as per the given fractions.

GCF of 238,476,266 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,61,879

LCM of Fractions 29/238,61/476,879/266 is 1554951/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 1554951

Least Common Multiple of 29,61,879 with GCF Formula

Least Common Multiple of 29,61,879 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 29,61,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,61,879) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,61,879) x common factors =1 x 1 = 1

LCM(29,61,879) = ( 29 × 61 × 879 ) / 1

LCM(29,61,879) = 1554951 / 1

LCM(29,61,879) = 1554951


Lets's calculate GCF of 238,476,266

2 238, 476, 266
7 119, 238, 133
17, 34, 19

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1554951/14

Therefore the LCM of Fractions 29/238,61/476,879/266 is 1554951/14

Greatest Common Factor of 238,476,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,476,266 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 238,476,266 . The biggest common factor number is the GCF number.
So the greatest common factor 238,476,266 is 14.


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 29/238, 61/476, 879/266

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 29/238, 61/476, 879/266?

Answer: LCM of Numerators as per given numbers 29/238, 61/476, 879/266 is

LCM of Numerators i.e. for 29,61,879 is 1554951

GCF of denominators i.e. for 238,476,266 is 14.

Thus, LCM of Fractions is 1554951/14.Finally, LCM of Fractions for 29/238, 61/476, 879/266 is 1554951/14.