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LCM of 839, 480, 134, 359, 598

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


Find the LCM of 839, 480, 134, 359, 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 839, 480, 134, 359, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 839,480,134,359,598

Given numbers are 839,480,134,359,598

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

The LCM of 839,480,134,359,598 is 2896300623840.

Find LCM of 839,480,134,359,598 with Prime Factorization


2 839, 480, 134, 359, 598
839, 240, 67, 359, 299

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

2 x 839 x 240 x 67 x 359 x 299 = 2896300623840

Therefore, the lowest common multiple of 839,480,134,359,598 is 2896300623840.

LCM Formula to Find Lowest Common Multiple of 839,480,134,359,598

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.

839 x 480 x 134 x 359 x 598 = 11585202495360

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.

839 : 1, 839

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

134 : 1, 2, 67, 134

359 : 1, 359

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 839,480,134,359,598, is 1.

Now, the common factors can be found like this.

839:839

480:2x 2x 2x 2x 2x 3x 5

134:2x 67

359:359

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 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 = 11585202495360/(1x4)

LCM = 11585202495360/4

LCM = 2896300623840

Thus, we can understand that the LCM of 839,480,134,359,598 is 2896300623840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 839, 480, 134, 359, 598

1. What is the LCM of 839, 480, 134, 359, 598?

Answer: LCM of 839, 480, 134, 359, 598 is 2896300623840.

2. How to calculate the LCM of 839, 480, 134, 359, 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 839, 480, 134, 359, 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}.