Least Common Multiple of 31/202, 882/420, 376/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/202, 882/420, 376/345 quickly i.e. 5140296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/202, 882/420, 376/345 is 5140296.

LCM(31/202, 882/420, 376/345) = 5140296

LCM of 31/202, 882/420, 376/345

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 31/202,882/420,376/345

Given numbers are 31/202,882/420,376/345

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 31,882,376

Least Common Multiple of Numerators i.e. LCM of 31,882,376 is 5140296.

GCF of Denominators means GCF of 202,420,345 as per the given fractions.

GCF of 202,420,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,882,376

LCM of Fractions 31/202,882/420,376/345 is 5140296

2 31, 882, 376
31, 441, 188

∴ So the LCM of the given numbers is 2 x 31 x 441 x 188 = 5140296

Least Common Multiple of 31,882,376 with GCF Formula

Least Common Multiple of 31,882,376 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 31,882,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,882,376) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,882,376) x common factors =1 x 2 = 2

LCM(31,882,376) = ( 31 × 882 × 376 ) / 2

LCM(31,882,376) = 10280592 / 2

LCM(31,882,376) = 5140296


Lets's calculate GCF of 202,420,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5140296/1

Therefore the LCM of Fractions 31/202,882/420,376/345 is 5140296

Greatest Common Factor of 202,420,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,420,345 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 202,420,345 . The biggest common factor number is the GCF number.
So the greatest common factor 202,420,345 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 31/202, 882/420, 376/345

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 31/202, 882/420, 376/345?

Answer: LCM of Numerators as per given numbers 31/202, 882/420, 376/345 is

LCM of Numerators i.e. for 31,882,376 is 5140296

GCF of denominators i.e. for 202,420,345 is 1.

Thus, LCM of Fractions is 5140296.Finally, LCM of Fractions for 31/202, 882/420, 376/345 is 5140296.