Least Common Multiple of 864/441, 722/801, 548/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/441, 722/801, 548/980 quickly i.e. 42730848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/441, 722/801, 548/980 is 42730848.

LCM(864/441, 722/801, 548/980) = 42730848

LCM of 864/441, 722/801, 548/980

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 864/441,722/801,548/980

Given numbers are 864/441,722/801,548/980

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 864,722,548

Least Common Multiple of Numerators i.e. LCM of 864,722,548 is 42730848.

GCF of Denominators means GCF of 441,801,980 as per the given fractions.

GCF of 441,801,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,722,548

LCM of Fractions 864/441,722/801,548/980 is 42730848

2 864, 722, 548
2 432, 361, 274
216, 361, 137

∴ So the LCM of the given numbers is 2 x 2 x 216 x 361 x 137 = 42730848

Least Common Multiple of 864,722,548 with GCF Formula

Least Common Multiple of 864,722,548 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 864,722,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,722,548) = 2

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

GCF(864,722,548) x common factors =2 x 4 = 8

LCM(864,722,548) = ( 864 × 722 × 548 ) / 8

LCM(864,722,548) = 341846784 / 8

LCM(864,722,548) = 42730848


Lets's calculate GCF of 441,801,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42730848/1

Therefore the LCM of Fractions 864/441,722/801,548/980 is 42730848

Greatest Common Factor of 441,801,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,801,980 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 441,801,980 . The biggest common factor number is the GCF number.
So the greatest common factor 441,801,980 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 864/441, 722/801, 548/980

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 864/441, 722/801, 548/980?

Answer: LCM of Numerators as per given numbers 864/441, 722/801, 548/980 is

LCM of Numerators i.e. for 864,722,548 is 42730848

GCF of denominators i.e. for 441,801,980 is 1.

Thus, LCM of Fractions is 42730848.Finally, LCM of Fractions for 864/441, 722/801, 548/980 is 42730848.