Least Common Multiple of 460/92, 373/25, 367/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 460/92, 373/25, 367/355 quickly i.e. 62969860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/92, 373/25, 367/355 is 62969860.

LCM(460/92, 373/25, 367/355) = 62969860

LCM of 460/92, 373/25, 367/355

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 460/92,373/25,367/355

Given numbers are 460/92,373/25,367/355

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 460,373,367

Least Common Multiple of Numerators i.e. LCM of 460,373,367 is 62969860.

GCF of Denominators means GCF of 92,25,355 as per the given fractions.

GCF of 92,25,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,373,367

LCM of Fractions 460/92,373/25,367/355 is 62969860

Given numbers has no common factors except 1. So, there LCM is their product i.e 62969860

Least Common Multiple of 460,373,367 with GCF Formula

Least Common Multiple of 460,373,367 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 460,373,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,373,367) = 1

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

GCF(460,373,367) x common factors =1 x 1 = 1

LCM(460,373,367) = ( 460 × 373 × 367 ) / 1

LCM(460,373,367) = 62969860 / 1

LCM(460,373,367) = 62969860


Lets's calculate GCF of 92,25,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62969860/1

Therefore the LCM of Fractions 460/92,373/25,367/355 is 62969860

Greatest Common Factor of 92,25,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,25,355 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 92,25,355 . The biggest common factor number is the GCF number.
So the greatest common factor 92,25,355 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 460/92, 373/25, 367/355

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 460/92, 373/25, 367/355?

Answer: LCM of Numerators as per given numbers 460/92, 373/25, 367/355 is

LCM of Numerators i.e. for 460,373,367 is 62969860

GCF of denominators i.e. for 92,25,355 is 1.

Thus, LCM of Fractions is 62969860.Finally, LCM of Fractions for 460/92, 373/25, 367/355 is 62969860.