Least Common Multiple of 846/164, 374/798, 814/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 846/164, 374/798, 814/842 quickly i.e. 2926737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/164, 374/798, 814/842 is 2926737.

LCM(846/164, 374/798, 814/842) = 2926737

LCM of 846/164, 374/798, 814/842

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 846/164,374/798,814/842

Given numbers are 846/164,374/798,814/842

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 846,374,814

Least Common Multiple of Numerators i.e. LCM of 846,374,814 is 5853474.

GCF of Denominators means GCF of 164,798,842 as per the given fractions.

GCF of 164,798,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,374,814

LCM of Fractions 846/164,374/798,814/842 is 2926737

2 846, 374, 814
11 423, 187, 407
423, 17, 37

∴ So the LCM of the given numbers is 2 x 11 x 423 x 17 x 37 = 5853474

Least Common Multiple of 846,374,814 with GCF Formula

Least Common Multiple of 846,374,814 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 846,374,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,374,814) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(846,374,814) x common factors =2 x 22 = 44

LCM(846,374,814) = ( 846 × 374 × 814 ) / 44

LCM(846,374,814) = 257552856 / 44

LCM(846,374,814) = 5853474


Lets's calculate GCF of 164,798,842

2 164, 798, 842
82, 399, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5853474/2

Therefore the LCM of Fractions 846/164,374/798,814/842 is 2926737

Greatest Common Factor of 164,798,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,798,842 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 164,798,842 . The biggest common factor number is the GCF number.
So the greatest common factor 164,798,842 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 846/164, 374/798, 814/842

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 846/164, 374/798, 814/842?

Answer: LCM of Numerators as per given numbers 846/164, 374/798, 814/842 is

LCM of Numerators i.e. for 846,374,814 is 5853474

GCF of denominators i.e. for 164,798,842 is 2.

Thus, LCM of Fractions is 2926737.Finally, LCM of Fractions for 846/164, 374/798, 814/842 is 2926737.