Least Common Multiple of 74/946, 5762/6886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/946, 5762/6886 quickly i.e. 213194/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/946, 5762/6886 is 213194/22.

LCM(74/946, 5762/6886) = 213194/22

LCM of 74/946, 5762/6886

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 74/946,5762/6886

Given numbers are 74/946,5762/6886

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 74,5762

Least Common Multiple of Numerators i.e. LCM of 74,5762 is 213194.

GCF of Denominators means GCF of 946,6886 as per the given fractions.

GCF of 946,6886 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,5762

LCM of Fractions 74/946,5762/6886 is 213194/22

2 74, 5762
37, 2881

∴ So the LCM of the given numbers is 2 x 37 x 2881 = 213194

Least Common Multiple of 74,5762 with GCF Formula

Least Common Multiple of 74,5762 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 74,5762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5762) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(74,5762) x common factors =2 x 1 = 2

LCM(74,5762) = ( 74 × 5762 ) / 2

LCM(74,5762) = 426388 / 2

LCM(74,5762) = 213194


Lets's calculate GCF of 946,6886

2 946, 6886
11 473, 3443
43, 313

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213194/22

Therefore the LCM of Fractions 74/946,5762/6886 is 213194/22

Greatest Common Factor of 946,6886 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,6886 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1,2,11,22,313,626,3443,6886

Greatest Common Factor

We found the factors 946,6886 . The biggest common factor number is the GCF number.
So the greatest common factor 946,6886 is 22.


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 74/946, 5762/6886

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 74/946, 5762/6886?

Answer: LCM of Numerators as per given numbers 74/946, 5762/6886 is

LCM of Numerators i.e. for 74,5762 is 213194

GCF of denominators i.e. for 946,6886 is 22.

Thus, LCM of Fractions is 213194/22.Finally, LCM of Fractions for 74/946, 5762/6886 is 213194/22.