Least Common Multiple of 85/991, 23/730, 950/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/991, 23/730, 950/339 quickly i.e. 371450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/991, 23/730, 950/339 is 371450.

LCM(85/991, 23/730, 950/339) = 371450

LCM of 85/991, 23/730, 950/339

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 85/991,23/730,950/339

Given numbers are 85/991,23/730,950/339

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 85,23,950

Least Common Multiple of Numerators i.e. LCM of 85,23,950 is 371450.

GCF of Denominators means GCF of 991,730,339 as per the given fractions.

GCF of 991,730,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,23,950

LCM of Fractions 85/991,23/730,950/339 is 371450

5 85, 23, 950
17, 23, 190

∴ So the LCM of the given numbers is 5 x 17 x 23 x 190 = 371450

Least Common Multiple of 85,23,950 with GCF Formula

Least Common Multiple of 85,23,950 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 85,23,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,23,950) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,23,950) x common factors =1 x 5 = 5

LCM(85,23,950) = ( 85 × 23 × 950 ) / 5

LCM(85,23,950) = 1857250 / 5

LCM(85,23,950) = 371450


Lets's calculate GCF of 991,730,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371450/1

Therefore the LCM of Fractions 85/991,23/730,950/339 is 371450

Greatest Common Factor of 991,730,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,730,339 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 991,730,339 . The biggest common factor number is the GCF number.
So the greatest common factor 991,730,339 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/991, 23/730, 950/339

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 85/991, 23/730, 950/339?

Answer: LCM of Numerators as per given numbers 85/991, 23/730, 950/339 is

LCM of Numerators i.e. for 85,23,950 is 371450

GCF of denominators i.e. for 991,730,339 is 1.

Thus, LCM of Fractions is 371450.Finally, LCM of Fractions for 85/991, 23/730, 950/339 is 371450.