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LCM of 654, 463, 958, 946

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


Find the LCM of 654, 463, 958, 946 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 654, 463, 958, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,463,958,946

Given numbers are 654,463,958,946

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

The LCM of 654,463,958,946 is 68604940734.

Find LCM of 654,463,958,946 with Prime Factorization


2 654, 463, 958, 946
327, 463, 479, 473

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

2 x 327 x 463 x 479 x 473 = 68604940734

Therefore, the lowest common multiple of 654,463,958,946 is 68604940734.

LCM Formula to Find Lowest Common Multiple of 654,463,958,946

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.

654 x 463 x 958 x 946 = 274419762936

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

463 : 1, 463

958 : 1, 2, 479, 958

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,463,958,946, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

463:463

958:2x 479

946:2x 11x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 274419762936/(1x4)

LCM = 274419762936/4

LCM = 68604940734

Thus, we can understand that the LCM of 654,463,958,946 is 68604940734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 463, 958, 946

1. What is the LCM of 654, 463, 958, 946?

Answer: LCM of 654, 463, 958, 946 is 68604940734.

2. How to calculate the LCM of 654, 463, 958, 946?

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 654, 463, 958, 946.

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}.