Least Common Multiple of 22/120, 706/558, 320/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/120, 706/558, 320/300 quickly i.e. 1242560/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/120, 706/558, 320/300 is 1242560/6.

LCM(22/120, 706/558, 320/300) = 1242560/6

LCM of 22/120, 706/558, 320/300

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 22/120,706/558,320/300

Given numbers are 22/120,706/558,320/300

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 22,706,320

Least Common Multiple of Numerators i.e. LCM of 22,706,320 is 1242560.

GCF of Denominators means GCF of 120,558,300 as per the given fractions.

GCF of 120,558,300 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,706,320

LCM of Fractions 22/120,706/558,320/300 is 1242560/6

2 22, 706, 320
11, 353, 160

∴ So the LCM of the given numbers is 2 x 11 x 353 x 160 = 1242560

Least Common Multiple of 22,706,320 with GCF Formula

Least Common Multiple of 22,706,320 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 22,706,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,706,320) = 2

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

GCF(22,706,320) x common factors =2 x 2 = 4

LCM(22,706,320) = ( 22 × 706 × 320 ) / 4

LCM(22,706,320) = 4970240 / 4

LCM(22,706,320) = 1242560


Lets's calculate GCF of 120,558,300

2 120, 558, 300
3 60, 279, 150
20, 93, 50

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242560/6

Therefore the LCM of Fractions 22/120,706/558,320/300 is 1242560/6

Greatest Common Factor of 120,558,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,558,300 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 120,558,300 . The biggest common factor number is the GCF number.
So the greatest common factor 120,558,300 is 6.


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 22/120, 706/558, 320/300

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 22/120, 706/558, 320/300?

Answer: LCM of Numerators as per given numbers 22/120, 706/558, 320/300 is

LCM of Numerators i.e. for 22,706,320 is 1242560

GCF of denominators i.e. for 120,558,300 is 6.

Thus, LCM of Fractions is 1242560/6.Finally, LCM of Fractions for 22/120, 706/558, 320/300 is 1242560/6.