Least Common Multiple of 1460/37, 2774/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1460/37, 2774/373 quickly i.e. 27740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1460/37, 2774/373 is 27740.

LCM(1460/37, 2774/373) = 27740

LCM of 1460/37, 2774/373

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 1460/37,2774/373

Given numbers are 1460/37,2774/373

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 1460,2774

Least Common Multiple of Numerators i.e. LCM of 1460,2774 is 27740.

GCF of Denominators means GCF of 37,373 as per the given fractions.

GCF of 37,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1460,2774

LCM of Fractions 1460/37,2774/373 is 27740

2 1460, 2774
73 730, 1387
10, 19

∴ So the LCM of the given numbers is 2 x 73 x 10 x 19 = 27740

Least Common Multiple of 1460,2774 with GCF Formula

Least Common Multiple of 1460,2774 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 1460,2774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1460,2774) = 146

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

GCF(1460,2774) x common factors =146 x 1 = 146

LCM(1460,2774) = ( 1460 × 2774 ) / 146

LCM(1460,2774) = 4050040 / 146

LCM(1460,2774) = 27740


Lets's calculate GCF of 37,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27740/1

Therefore the LCM of Fractions 1460/37,2774/373 is 27740

Greatest Common Factor of 37,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,373 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 37,373 . The biggest common factor number is the GCF number.
So the greatest common factor 37,373 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 1460/37, 2774/373

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 1460/37, 2774/373?

Answer: LCM of Numerators as per given numbers 1460/37, 2774/373 is

LCM of Numerators i.e. for 1460,2774 is 27740

GCF of denominators i.e. for 37,373 is 1.

Thus, LCM of Fractions is 27740.Finally, LCM of Fractions for 1460/37, 2774/373 is 27740.