Least Common Multiple of 10/850, 60/982, 361/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/850, 60/982, 361/739 quickly i.e. 21660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/850, 60/982, 361/739 is 21660.

LCM(10/850, 60/982, 361/739) = 21660

LCM of 10/850, 60/982, 361/739

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 10/850,60/982,361/739

Given numbers are 10/850,60/982,361/739

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 10,60,361

Least Common Multiple of Numerators i.e. LCM of 10,60,361 is 21660.

GCF of Denominators means GCF of 850,982,739 as per the given fractions.

GCF of 850,982,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,60,361

LCM of Fractions 10/850,60/982,361/739 is 21660

2 10, 60, 361
5 5, 30, 361
1, 6, 361

∴ So the LCM of the given numbers is 2 x 5 x 1 x 6 x 361 = 21660

Least Common Multiple of 10,60,361 with GCF Formula

Least Common Multiple of 10,60,361 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 10,60,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,60,361) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,60,361) x common factors =1 x 10 = 10

LCM(10,60,361) = ( 10 × 60 × 361 ) / 10

LCM(10,60,361) = 216600 / 10

LCM(10,60,361) = 21660


Lets's calculate GCF of 850,982,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21660/1

Therefore the LCM of Fractions 10/850,60/982,361/739 is 21660

Greatest Common Factor of 850,982,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,982,739 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 850,982,739 . The biggest common factor number is the GCF number.
So the greatest common factor 850,982,739 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 10/850, 60/982, 361/739

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 10/850, 60/982, 361/739?

Answer: LCM of Numerators as per given numbers 10/850, 60/982, 361/739 is

LCM of Numerators i.e. for 10,60,361 is 21660

GCF of denominators i.e. for 850,982,739 is 1.

Thus, LCM of Fractions is 21660.Finally, LCM of Fractions for 10/850, 60/982, 361/739 is 21660.