Least Common Multiple of 364/20, 257/12, 234/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/20, 257/12, 234/152 quickly i.e. 210483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/20, 257/12, 234/152 is 210483.

LCM(364/20, 257/12, 234/152) = 210483

LCM of 364/20, 257/12, 234/152

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 364/20,257/12,234/152

Given numbers are 364/20,257/12,234/152

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 364,257,234

Least Common Multiple of Numerators i.e. LCM of 364,257,234 is 841932.

GCF of Denominators means GCF of 20,12,152 as per the given fractions.

GCF of 20,12,152 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,257,234

LCM of Fractions 364/20,257/12,234/152 is 210483

2 364, 257, 234
13 182, 257, 117
14, 257, 9

∴ So the LCM of the given numbers is 2 x 13 x 14 x 257 x 9 = 841932

Least Common Multiple of 364,257,234 with GCF Formula

Least Common Multiple of 364,257,234 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 364,257,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,257,234) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(364,257,234) x common factors =1 x 26 = 26

LCM(364,257,234) = ( 364 × 257 × 234 ) / 26

LCM(364,257,234) = 21890232 / 26

LCM(364,257,234) = 841932


Lets's calculate GCF of 20,12,152

2 20, 12, 152
2 10, 6, 76
5, 3, 38

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841932/4

Therefore the LCM of Fractions 364/20,257/12,234/152 is 210483

Greatest Common Factor of 20,12,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,12,152 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 20,12,152 . The biggest common factor number is the GCF number.
So the greatest common factor 20,12,152 is 4.


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 364/20, 257/12, 234/152

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 364/20, 257/12, 234/152?

Answer: LCM of Numerators as per given numbers 364/20, 257/12, 234/152 is

LCM of Numerators i.e. for 364,257,234 is 841932

GCF of denominators i.e. for 20,12,152 is 4.

Thus, LCM of Fractions is 210483.Finally, LCM of Fractions for 364/20, 257/12, 234/152 is 210483.