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LCM of 348, 115, 966, 692, 598

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


Find the LCM of 348, 115, 966, 692, 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 348, 115, 966, 692, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,115,966,692,598

Given numbers are 348,115,966,692,598

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

The LCM of 348,115,966,692,598 is 630034860.

Find LCM of 348,115,966,692,598 with Prime Factorization


2 348, 115, 966, 692, 598
2 174, 115, 483, 346, 299
3 87, 115, 483, 173, 299
23 29, 115, 161, 173, 299
29, 5, 7, 173, 13

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

2 x 2 x 3 x 23 x 29 x 5 x 7 x 173 x 13 = 630034860

Therefore, the lowest common multiple of 348,115,966,692,598 is 630034860.

LCM Formula to Find Lowest Common Multiple of 348,115,966,692,598

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.

348 x 115 x 966 x 692 x 598 = 15997845165120

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

115 : 1, 5, 23, 115

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

692 : 1, 2, 4, 173, 346, 692

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 348,115,966,692,598, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

115:5x 23

966:2x 3x 7x 23

692:2x 2x 173

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 2x 2x 2x 3x 23x 23 = 25392

Therefore, the value for common factors is 25392.

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 = 15997845165120/(1x25392)

LCM = 15997845165120/25392

LCM = 630034860

Thus, we can understand that the LCM of 348,115,966,692,598 is 630034860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 115, 966, 692, 598

1. What is the LCM of 348, 115, 966, 692, 598?

Answer: LCM of 348, 115, 966, 692, 598 is 630034860.

2. How to calculate the LCM of 348, 115, 966, 692, 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 348, 115, 966, 692, 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}.