Least Common Multiple of 274/65, 201/84, 185/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/65, 201/84, 185/740 quickly i.e. 10188690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/65, 201/84, 185/740 is 10188690.

LCM(274/65, 201/84, 185/740) = 10188690

LCM of 274/65, 201/84, 185/740

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 274/65,201/84,185/740

Given numbers are 274/65,201/84,185/740

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 274,201,185

Least Common Multiple of Numerators i.e. LCM of 274,201,185 is 10188690.

GCF of Denominators means GCF of 65,84,740 as per the given fractions.

GCF of 65,84,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,201,185

LCM of Fractions 274/65,201/84,185/740 is 10188690

Given numbers has no common factors except 1. So, there LCM is their product i.e 10188690

Least Common Multiple of 274,201,185 with GCF Formula

Least Common Multiple of 274,201,185 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 274,201,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,201,185) = 1

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

GCF(274,201,185) x common factors =1 x 1 = 1

LCM(274,201,185) = ( 274 × 201 × 185 ) / 1

LCM(274,201,185) = 10188690 / 1

LCM(274,201,185) = 10188690


Lets's calculate GCF of 65,84,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10188690/1

Therefore the LCM of Fractions 274/65,201/84,185/740 is 10188690

Greatest Common Factor of 65,84,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,84,740 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 65,84,740 . The biggest common factor number is the GCF number.
So the greatest common factor 65,84,740 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 274/65, 201/84, 185/740

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 274/65, 201/84, 185/740?

Answer: LCM of Numerators as per given numbers 274/65, 201/84, 185/740 is

LCM of Numerators i.e. for 274,201,185 is 10188690

GCF of denominators i.e. for 65,84,740 is 1.

Thus, LCM of Fractions is 10188690.Finally, LCM of Fractions for 274/65, 201/84, 185/740 is 10188690.