Least Common Multiple of 33/153, 466/952, 701/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/153, 466/952, 701/187 quickly i.e. 10779978/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/153, 466/952, 701/187 is 10779978/17.

LCM(33/153, 466/952, 701/187) = 10779978/17

LCM of 33/153, 466/952, 701/187

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 33/153,466/952,701/187

Given numbers are 33/153,466/952,701/187

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 33,466,701

Least Common Multiple of Numerators i.e. LCM of 33,466,701 is 10779978.

GCF of Denominators means GCF of 153,952,187 as per the given fractions.

GCF of 153,952,187 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,466,701

LCM of Fractions 33/153,466/952,701/187 is 10779978/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 10779978

Least Common Multiple of 33,466,701 with GCF Formula

Least Common Multiple of 33,466,701 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 33,466,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,466,701) = 1

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

GCF(33,466,701) x common factors =1 x 1 = 1

LCM(33,466,701) = ( 33 × 466 × 701 ) / 1

LCM(33,466,701) = 10779978 / 1

LCM(33,466,701) = 10779978


Lets's calculate GCF of 153,952,187

17 153, 952, 187
9, 56, 11

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10779978/17

Therefore the LCM of Fractions 33/153,466/952,701/187 is 10779978/17

Greatest Common Factor of 153,952,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,952,187 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 153,952,187 . The biggest common factor number is the GCF number.
So the greatest common factor 153,952,187 is 17.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/153, 466/952, 701/187

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 33/153, 466/952, 701/187?

Answer: LCM of Numerators as per given numbers 33/153, 466/952, 701/187 is

LCM of Numerators i.e. for 33,466,701 is 10779978

GCF of denominators i.e. for 153,952,187 is 17.

Thus, LCM of Fractions is 10779978/17.Finally, LCM of Fractions for 33/153, 466/952, 701/187 is 10779978/17.