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LCM of 359, 301, 946, 890

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


Find the LCM of 359, 301, 946, 890 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 359, 301, 946, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 359,301,946,890

Given numbers are 359,301,946,890

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

The LCM of 359,301,946,890 is 1057897610.

Find LCM of 359,301,946,890 with Prime Factorization


2 359, 301, 946, 890
43 359, 301, 473, 445
359, 7, 11, 445

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

2 x 43 x 359 x 7 x 11 x 445 = 1057897610

Therefore, the lowest common multiple of 359,301,946,890 is 1057897610.

LCM Formula to Find Lowest Common Multiple of 359,301,946,890

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.

359 x 301 x 946 x 890 = 90979194460

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.

359 : 1, 359

301 : 1, 7, 43, 301

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,301,946,890, is 1.

Now, the common factors can be found like this.

359:359

301:7x 43

946:2x 11x 43

890:2x 5x 89

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

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 90979194460/(1x86)

LCM = 90979194460/86

LCM = 1057897610

Thus, we can understand that the LCM of 359,301,946,890 is 1057897610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 359, 301, 946, 890

1. What is the LCM of 359, 301, 946, 890?

Answer: LCM of 359, 301, 946, 890 is 1057897610.

2. How to calculate the LCM of 359, 301, 946, 890?

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 359, 301, 946, 890.

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}.