Least Common Multiple of 861/58, 882/32, 642/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/58, 882/32, 642/620 quickly i.e. 1934667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/58, 882/32, 642/620 is 1934667.

LCM(861/58, 882/32, 642/620) = 1934667

LCM of 861/58, 882/32, 642/620

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 861/58,882/32,642/620

Given numbers are 861/58,882/32,642/620

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 861,882,642

Least Common Multiple of Numerators i.e. LCM of 861,882,642 is 3869334.

GCF of Denominators means GCF of 58,32,620 as per the given fractions.

GCF of 58,32,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,882,642

LCM of Fractions 861/58,882/32,642/620 is 1934667

2 861, 882, 642
3 861, 441, 321
7 287, 147, 107
41, 21, 107

∴ So the LCM of the given numbers is 2 x 3 x 7 x 41 x 21 x 107 = 3869334

Least Common Multiple of 861,882,642 with GCF Formula

Least Common Multiple of 861,882,642 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 861,882,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,882,642) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(861,882,642) x common factors =3 x 42 = 126

LCM(861,882,642) = ( 861 × 882 × 642 ) / 126

LCM(861,882,642) = 487536084 / 126

LCM(861,882,642) = 3869334


Lets's calculate GCF of 58,32,620

2 58, 32, 620
29, 16, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3869334/2

Therefore the LCM of Fractions 861/58,882/32,642/620 is 1934667

Greatest Common Factor of 58,32,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,32,620 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 58,32,620 . The biggest common factor number is the GCF number.
So the greatest common factor 58,32,620 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 861/58, 882/32, 642/620

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 861/58, 882/32, 642/620?

Answer: LCM of Numerators as per given numbers 861/58, 882/32, 642/620 is

LCM of Numerators i.e. for 861,882,642 is 3869334

GCF of denominators i.e. for 58,32,620 is 2.

Thus, LCM of Fractions is 1934667.Finally, LCM of Fractions for 861/58, 882/32, 642/620 is 1934667.