Least Common Multiple of 36/202, 646/734, 544/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/202, 646/734, 544/232 quickly i.e. 46512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/202, 646/734, 544/232 is 46512.

LCM(36/202, 646/734, 544/232) = 46512

LCM of 36/202, 646/734, 544/232

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 36/202,646/734,544/232

Given numbers are 36/202,646/734,544/232

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 36,646,544

Least Common Multiple of Numerators i.e. LCM of 36,646,544 is 93024.

GCF of Denominators means GCF of 202,734,232 as per the given fractions.

GCF of 202,734,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,646,544

LCM of Fractions 36/202,646/734,544/232 is 46512

2 36, 646, 544
2 18, 323, 272
17 9, 323, 136
9, 19, 8

∴ So the LCM of the given numbers is 2 x 2 x 17 x 9 x 19 x 8 = 93024

Least Common Multiple of 36,646,544 with GCF Formula

Least Common Multiple of 36,646,544 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 36,646,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,646,544) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(36,646,544) x common factors =2 x 68 = 136

LCM(36,646,544) = ( 36 × 646 × 544 ) / 136

LCM(36,646,544) = 12651264 / 136

LCM(36,646,544) = 93024


Lets's calculate GCF of 202,734,232

2 202, 734, 232
101, 367, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93024/2

Therefore the LCM of Fractions 36/202,646/734,544/232 is 46512

Greatest Common Factor of 202,734,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,734,232 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 202,734,232 . The biggest common factor number is the GCF number.
So the greatest common factor 202,734,232 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/202, 646/734, 544/232

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 36/202, 646/734, 544/232?

Answer: LCM of Numerators as per given numbers 36/202, 646/734, 544/232 is

LCM of Numerators i.e. for 36,646,544 is 93024

GCF of denominators i.e. for 202,734,232 is 2.

Thus, LCM of Fractions is 46512.Finally, LCM of Fractions for 36/202, 646/734, 544/232 is 46512.