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LCM of 946, 273, 559, 335, 901

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


Find the LCM of 946, 273, 559, 335, 901 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 946, 273, 559, 335, 901. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,273,559,335,901

Given numbers are 946,273,559,335,901

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

The LCM of 946,273,559,335,901 is 77951303430.

Find LCM of 946,273,559,335,901 with Prime Factorization


13 946, 273, 559, 335, 901
43 946, 21, 43, 335, 901
22, 21, 1, 335, 901

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

13 x 43 x 22 x 21 x 1 x 335 x 901 = 77951303430

Therefore, the lowest common multiple of 946,273,559,335,901 is 77951303430.

LCM Formula to Find Lowest Common Multiple of 946,273,559,335,901

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.

946 x 273 x 559 x 335 x 901 = 43574778617370

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.

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

559 : 1, 13, 43, 559

335 : 1, 5, 67, 335

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,273,559,335,901, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

273:3x 7x 13

559:13x 43

335:5x 67

901:17x 53

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

13x 43 = 559

Therefore, the value for common factors is 559.

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 = 43574778617370/(1x559)

LCM = 43574778617370/559

LCM = 77951303430

Thus, we can understand that the LCM of 946,273,559,335,901 is 77951303430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 273, 559, 335, 901

1. What is the LCM of 946, 273, 559, 335, 901?

Answer: LCM of 946, 273, 559, 335, 901 is 77951303430.

2. How to calculate the LCM of 946, 273, 559, 335, 901?

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 946, 273, 559, 335, 901.

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}.