Least Common Multiple of 182/64, 568/22, 153/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 182/64, 568/22, 153/366 quickly i.e. 3954132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/64, 568/22, 153/366 is 3954132.

LCM(182/64, 568/22, 153/366) = 3954132

LCM of 182/64, 568/22, 153/366

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 182/64,568/22,153/366

Given numbers are 182/64,568/22,153/366

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 182,568,153

Least Common Multiple of Numerators i.e. LCM of 182,568,153 is 7908264.

GCF of Denominators means GCF of 64,22,366 as per the given fractions.

GCF of 64,22,366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,568,153

LCM of Fractions 182/64,568/22,153/366 is 3954132

2 182, 568, 153
91, 284, 153

∴ So the LCM of the given numbers is 2 x 91 x 284 x 153 = 7908264

Least Common Multiple of 182,568,153 with GCF Formula

Least Common Multiple of 182,568,153 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 182,568,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,568,153) = 1

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

GCF(182,568,153) x common factors =1 x 2 = 2

LCM(182,568,153) = ( 182 × 568 × 153 ) / 2

LCM(182,568,153) = 15816528 / 2

LCM(182,568,153) = 7908264


Lets's calculate GCF of 64,22,366

2 64, 22, 366
32, 11, 183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7908264/2

Therefore the LCM of Fractions 182/64,568/22,153/366 is 3954132

Greatest Common Factor of 64,22,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,22,366 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 64,22,366 . The biggest common factor number is the GCF number.
So the greatest common factor 64,22,366 is 2.


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Frequently Asked Questions on Fractional LCM of 182/64, 568/22, 153/366

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 182/64, 568/22, 153/366?

Answer: LCM of Numerators as per given numbers 182/64, 568/22, 153/366 is

LCM of Numerators i.e. for 182,568,153 is 7908264

GCF of denominators i.e. for 64,22,366 is 2.

Thus, LCM of Fractions is 3954132.Finally, LCM of Fractions for 182/64, 568/22, 153/366 is 3954132.