Least Common Multiple of 366/96, 907/66, 907/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 366/96, 907/66, 907/166 quickly i.e. 165981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 366/96, 907/66, 907/166 is 165981.

LCM(366/96, 907/66, 907/166) = 165981

LCM of 366/96, 907/66, 907/166

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 366/96,907/66,907/166

Given numbers are 366/96,907/66,907/166

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 366,907,907

Least Common Multiple of Numerators i.e. LCM of 366,907,907 is 331962.

GCF of Denominators means GCF of 96,66,166 as per the given fractions.

GCF of 96,66,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 366,907,907

LCM of Fractions 366/96,907/66,907/166 is 165981

907 366, 907, 907
366, 1, 1

∴ So the LCM of the given numbers is 907 x 366 x 1 x 1 = 331962

Least Common Multiple of 366,907,907 with GCF Formula

Least Common Multiple of 366,907,907 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 366,907,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,907,907) = 1

common factors(in case of two or more numbers have common factors) = 907

GCF(366,907,907) x common factors =1 x 907 = 907

LCM(366,907,907) = ( 366 × 907 × 907 ) / 907

LCM(366,907,907) = 301089534 / 907

LCM(366,907,907) = 331962


Lets's calculate GCF of 96,66,166

2 96, 66, 166
48, 33, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331962/2

Therefore the LCM of Fractions 366/96,907/66,907/166 is 165981

Greatest Common Factor of 96,66,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,66,166 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 96,66,166 . The biggest common factor number is the GCF number.
So the greatest common factor 96,66,166 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 366/96, 907/66, 907/166

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 366/96, 907/66, 907/166?

Answer: LCM of Numerators as per given numbers 366/96, 907/66, 907/166 is

LCM of Numerators i.e. for 366,907,907 is 331962

GCF of denominators i.e. for 96,66,166 is 2.

Thus, LCM of Fractions is 165981.Finally, LCM of Fractions for 366/96, 907/66, 907/166 is 165981.