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LCM of 598, 460, 967, 890

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


Find the LCM of 598, 460, 967, 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 598, 460, 967, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,460,967,890

Given numbers are 598,460,967,890

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

The LCM of 598,460,967,890 is 514656740.

Find LCM of 598,460,967,890 with Prime Factorization


2 598, 460, 967, 890
5 299, 230, 967, 445
23 299, 46, 967, 89
13, 2, 967, 89

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

2 x 5 x 23 x 13 x 2 x 967 x 89 = 514656740

Therefore, the lowest common multiple of 598,460,967,890 is 514656740.

LCM Formula to Find Lowest Common Multiple of 598,460,967,890

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.

598 x 460 x 967 x 890 = 236742100400

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

967 : 1, 967

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 598,460,967,890, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

460:2x 2x 5x 23

967:967

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 2x 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 236742100400/(1x460)

LCM = 236742100400/460

LCM = 514656740

Thus, we can understand that the LCM of 598,460,967,890 is 514656740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 460, 967, 890

1. What is the LCM of 598, 460, 967, 890?

Answer: LCM of 598, 460, 967, 890 is 514656740.

2. How to calculate the LCM of 598, 460, 967, 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 598, 460, 967, 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}.