Least Common Multiple of 61/185, 594/153, 159/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/185, 594/153, 159/163 quickly i.e. 1920402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/185, 594/153, 159/163 is 1920402.

LCM(61/185, 594/153, 159/163) = 1920402

LCM of 61/185, 594/153, 159/163

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 61/185,594/153,159/163

Given numbers are 61/185,594/153,159/163

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 61,594,159

Least Common Multiple of Numerators i.e. LCM of 61,594,159 is 1920402.

GCF of Denominators means GCF of 185,153,163 as per the given fractions.

GCF of 185,153,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,594,159

LCM of Fractions 61/185,594/153,159/163 is 1920402

3 61, 594, 159
61, 198, 53

∴ So the LCM of the given numbers is 3 x 61 x 198 x 53 = 1920402

Least Common Multiple of 61,594,159 with GCF Formula

Least Common Multiple of 61,594,159 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 61,594,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,594,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,594,159) x common factors =1 x 3 = 3

LCM(61,594,159) = ( 61 × 594 × 159 ) / 3

LCM(61,594,159) = 5761206 / 3

LCM(61,594,159) = 1920402


Lets's calculate GCF of 185,153,163

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1920402/1

Therefore the LCM of Fractions 61/185,594/153,159/163 is 1920402

Greatest Common Factor of 185,153,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,153,163 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 153

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

1,3,9,17,51,153

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 185,153,163 . The biggest common factor number is the GCF number.
So the greatest common factor 185,153,163 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/185, 594/153, 159/163

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 61/185, 594/153, 159/163?

Answer: LCM of Numerators as per given numbers 61/185, 594/153, 159/163 is

LCM of Numerators i.e. for 61,594,159 is 1920402

GCF of denominators i.e. for 185,153,163 is 1.

Thus, LCM of Fractions is 1920402.Finally, LCM of Fractions for 61/185, 594/153, 159/163 is 1920402.