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LCM of 461, 989, 736, 598

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


Find the LCM of 461, 989, 736, 598 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 461, 989, 736, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,989,736,598

Given numbers are 461,989,736,598

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

The LCM of 461,989,736,598 is 189666464.

Find LCM of 461,989,736,598 with Prime Factorization


2 461, 989, 736, 598
23 461, 989, 368, 299
461, 43, 16, 13

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

2 x 23 x 461 x 43 x 16 x 13 = 189666464

Therefore, the lowest common multiple of 461,989,736,598 is 189666464.

LCM Formula to Find Lowest Common Multiple of 461,989,736,598

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.

461 x 989 x 736 x 598 = 200667118912

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.

461 : 1, 461

989 : 1, 23, 43, 989

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,989,736,598, is 1.

Now, the common factors can be found like this.

461:461

989:23x 43

736:2x 2x 2x 2x 2x 23

598:2x 13x 23

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 200667118912/(1x1058)

LCM = 200667118912/1058

LCM = 189666464

Thus, we can understand that the LCM of 461,989,736,598 is 189666464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 989, 736, 598

1. What is the LCM of 461, 989, 736, 598?

Answer: LCM of 461, 989, 736, 598 is 189666464.

2. How to calculate the LCM of 461, 989, 736, 598?

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 461, 989, 736, 598.

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}.