Least Common Multiple of 304/355, 632/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/355, 632/271 quickly i.e. 24016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/355, 632/271 is 24016.

LCM(304/355, 632/271) = 24016

LCM of 304/355, 632/271

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 304/355,632/271

Given numbers are 304/355,632/271

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 304,632

Least Common Multiple of Numerators i.e. LCM of 304,632 is 24016.

GCF of Denominators means GCF of 355,271 as per the given fractions.

GCF of 355,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,632

LCM of Fractions 304/355,632/271 is 24016

2 304, 632
2 152, 316
2 76, 158
38, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 79 = 24016

Least Common Multiple of 304,632 with GCF Formula

Least Common Multiple of 304,632 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 304,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,632) = 8

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

GCF(304,632) x common factors =8 x 1 = 8

LCM(304,632) = ( 304 × 632 ) / 8

LCM(304,632) = 192128 / 8

LCM(304,632) = 24016


Lets's calculate GCF of 355,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24016/1

Therefore the LCM of Fractions 304/355,632/271 is 24016

Greatest Common Factor of 355,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,271 By Matching Biggest Common Factor Method

Factors of 355

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

1,5,71,355

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 355,271 . The biggest common factor number is the GCF number.
So the greatest common factor 355,271 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 304/355, 632/271

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 304/355, 632/271?

Answer: LCM of Numerators as per given numbers 304/355, 632/271 is

LCM of Numerators i.e. for 304,632 is 24016

GCF of denominators i.e. for 355,271 is 1.

Thus, LCM of Fractions is 24016.Finally, LCM of Fractions for 304/355, 632/271 is 24016.