Least Common Multiple of 407/12, 822/74, 962/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/12, 822/74, 962/76 quickly i.e. 2174601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/12, 822/74, 962/76 is 2174601.

LCM(407/12, 822/74, 962/76) = 2174601

LCM of 407/12, 822/74, 962/76

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 407/12,822/74,962/76

Given numbers are 407/12,822/74,962/76

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 407,822,962

Least Common Multiple of Numerators i.e. LCM of 407,822,962 is 4349202.

GCF of Denominators means GCF of 12,74,76 as per the given fractions.

GCF of 12,74,76 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,822,962

LCM of Fractions 407/12,822/74,962/76 is 2174601

2 407, 822, 962
37 407, 411, 481
11, 411, 13

∴ So the LCM of the given numbers is 2 x 37 x 11 x 411 x 13 = 4349202

Least Common Multiple of 407,822,962 with GCF Formula

Least Common Multiple of 407,822,962 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 407,822,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,822,962) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(407,822,962) x common factors =1 x 74 = 74

LCM(407,822,962) = ( 407 × 822 × 962 ) / 74

LCM(407,822,962) = 321840948 / 74

LCM(407,822,962) = 4349202


Lets's calculate GCF of 12,74,76

2 12, 74, 76
6, 37, 38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4349202/2

Therefore the LCM of Fractions 407/12,822/74,962/76 is 2174601

Greatest Common Factor of 12,74,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,74,76 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 12,74,76 . The biggest common factor number is the GCF number.
So the greatest common factor 12,74,76 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 407/12, 822/74, 962/76

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 407/12, 822/74, 962/76?

Answer: LCM of Numerators as per given numbers 407/12, 822/74, 962/76 is

LCM of Numerators i.e. for 407,822,962 is 4349202

GCF of denominators i.e. for 12,74,76 is 2.

Thus, LCM of Fractions is 2174601.Finally, LCM of Fractions for 407/12, 822/74, 962/76 is 2174601.