Least Common Multiple of 120/84, 691/10, 892/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/84, 691/10, 892/586 quickly i.e. 9245580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/84, 691/10, 892/586 is 9245580.

LCM(120/84, 691/10, 892/586) = 9245580

LCM of 120/84, 691/10, 892/586

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 120/84,691/10,892/586

Given numbers are 120/84,691/10,892/586

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 120,691,892

Least Common Multiple of Numerators i.e. LCM of 120,691,892 is 18491160.

GCF of Denominators means GCF of 84,10,586 as per the given fractions.

GCF of 84,10,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,691,892

LCM of Fractions 120/84,691/10,892/586 is 9245580

2 120, 691, 892
2 60, 691, 446
30, 691, 223

∴ So the LCM of the given numbers is 2 x 2 x 30 x 691 x 223 = 18491160

Least Common Multiple of 120,691,892 with GCF Formula

Least Common Multiple of 120,691,892 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 120,691,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,691,892) = 1

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

GCF(120,691,892) x common factors =1 x 4 = 4

LCM(120,691,892) = ( 120 × 691 × 892 ) / 4

LCM(120,691,892) = 73964640 / 4

LCM(120,691,892) = 18491160


Lets's calculate GCF of 84,10,586

2 84, 10, 586
42, 5, 293

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18491160/2

Therefore the LCM of Fractions 120/84,691/10,892/586 is 9245580

Greatest Common Factor of 84,10,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,10,586 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 84,10,586 . The biggest common factor number is the GCF number.
So the greatest common factor 84,10,586 is 2.


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 120/84, 691/10, 892/586

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 120/84, 691/10, 892/586?

Answer: LCM of Numerators as per given numbers 120/84, 691/10, 892/586 is

LCM of Numerators i.e. for 120,691,892 is 18491160

GCF of denominators i.e. for 84,10,586 is 2.

Thus, LCM of Fractions is 9245580.Finally, LCM of Fractions for 120/84, 691/10, 892/586 is 9245580.