Least Common Multiple of 99/671, 60/865, 342/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/671, 60/865, 342/795 quickly i.e. 37620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/671, 60/865, 342/795 is 37620.

LCM(99/671, 60/865, 342/795) = 37620

LCM of 99/671, 60/865, 342/795

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 99/671,60/865,342/795

Given numbers are 99/671,60/865,342/795

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 99,60,342

Least Common Multiple of Numerators i.e. LCM of 99,60,342 is 37620.

GCF of Denominators means GCF of 671,865,795 as per the given fractions.

GCF of 671,865,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,60,342

LCM of Fractions 99/671,60/865,342/795 is 37620

2 99, 60, 342
3 99, 30, 171
3 33, 10, 57
11, 10, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 10 x 19 = 37620

Least Common Multiple of 99,60,342 with GCF Formula

Least Common Multiple of 99,60,342 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 99,60,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,60,342) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(99,60,342) x common factors =3 x 18 = 54

LCM(99,60,342) = ( 99 × 60 × 342 ) / 54

LCM(99,60,342) = 2031480 / 54

LCM(99,60,342) = 37620


Lets's calculate GCF of 671,865,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37620/1

Therefore the LCM of Fractions 99/671,60/865,342/795 is 37620

Greatest Common Factor of 671,865,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,865,795 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 671,865,795 . The biggest common factor number is the GCF number.
So the greatest common factor 671,865,795 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/671, 60/865, 342/795

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 99/671, 60/865, 342/795?

Answer: LCM of Numerators as per given numbers 99/671, 60/865, 342/795 is

LCM of Numerators i.e. for 99,60,342 is 37620

GCF of denominators i.e. for 671,865,795 is 1.

Thus, LCM of Fractions is 37620.Finally, LCM of Fractions for 99/671, 60/865, 342/795 is 37620.