Least Common Multiple of 564/301, 146/881, 380/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/301, 146/881, 380/646 quickly i.e. 3911340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/301, 146/881, 380/646 is 3911340.

LCM(564/301, 146/881, 380/646) = 3911340

LCM of 564/301, 146/881, 380/646

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 564/301,146/881,380/646

Given numbers are 564/301,146/881,380/646

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 564,146,380

Least Common Multiple of Numerators i.e. LCM of 564,146,380 is 3911340.

GCF of Denominators means GCF of 301,881,646 as per the given fractions.

GCF of 301,881,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,146,380

LCM of Fractions 564/301,146/881,380/646 is 3911340

2 564, 146, 380
2 282, 73, 190
141, 73, 95

∴ So the LCM of the given numbers is 2 x 2 x 141 x 73 x 95 = 3911340

Least Common Multiple of 564,146,380 with GCF Formula

Least Common Multiple of 564,146,380 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 564,146,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,146,380) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(564,146,380) x common factors =2 x 4 = 8

LCM(564,146,380) = ( 564 × 146 × 380 ) / 8

LCM(564,146,380) = 31290720 / 8

LCM(564,146,380) = 3911340


Lets's calculate GCF of 301,881,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3911340/1

Therefore the LCM of Fractions 564/301,146/881,380/646 is 3911340

Greatest Common Factor of 301,881,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,881,646 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 301,881,646 . The biggest common factor number is the GCF number.
So the greatest common factor 301,881,646 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 564/301, 146/881, 380/646

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 564/301, 146/881, 380/646?

Answer: LCM of Numerators as per given numbers 564/301, 146/881, 380/646 is

LCM of Numerators i.e. for 564,146,380 is 3911340

GCF of denominators i.e. for 301,881,646 is 1.

Thus, LCM of Fractions is 3911340.Finally, LCM of Fractions for 564/301, 146/881, 380/646 is 3911340.