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LCM of 363, 899, 956, 674

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 363, 899, 956, 674 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 363, 899, 956, 674. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,899,956,674

Given numbers are 363,899,956,674

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 363,899,956,674 is 105136643964.

Find LCM of 363,899,956,674 with Prime Factorization


2 363, 899, 956, 674
363, 899, 478, 337

Multiply the prime numbers at the bottom and the left side.

2 x 363 x 899 x 478 x 337 = 105136643964

Therefore, the lowest common multiple of 363,899,956,674 is 105136643964.

LCM Formula to Find Lowest Common Multiple of 363,899,956,674

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

363 x 899 x 956 x 674 = 210273287928

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

363 : 1, 3, 11, 33, 121, 363

899 : 1, 29, 31, 899

956 : 1, 2, 4, 239, 478, 956

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,899,956,674, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

899:29x 31

956:2x 2x 239

674:2x 337

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 210273287928/(1x2)

LCM = 210273287928/2

LCM = 105136643964

Thus, we can understand that the LCM of 363,899,956,674 is 105136643964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 899, 956, 674

1. What is the LCM of 363, 899, 956, 674?

Answer: LCM of 363, 899, 956, 674 is 105136643964.

2. How to calculate the LCM of 363, 899, 956, 674?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 363, 899, 956, 674.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.