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LCM of 895, 989, 208, 315

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


Find the LCM of 895, 989, 208, 315 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 895, 989, 208, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,989,208,315

Given numbers are 895,989,208,315

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

The LCM of 895,989,208,315 is 11599071120.

Find LCM of 895,989,208,315 with Prime Factorization


5 895, 989, 208, 315
179, 989, 208, 63

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

5 x 179 x 989 x 208 x 63 = 11599071120

Therefore, the lowest common multiple of 895,989,208,315 is 11599071120.

LCM Formula to Find Lowest Common Multiple of 895,989,208,315

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.

895 x 989 x 208 x 315 = 57995355600

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.

895 : 1, 5, 179, 895

989 : 1, 23, 43, 989

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,989,208,315, is 1.

Now, the common factors can be found like this.

895:5x 179

989:23x 43

208:2x 2x 2x 2x 13

315:3x 3x 5x 7

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

5 = 5

Therefore, the value for common factors is 5.

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 = 57995355600/(1x5)

LCM = 57995355600/5

LCM = 11599071120

Thus, we can understand that the LCM of 895,989,208,315 is 11599071120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 989, 208, 315

1. What is the LCM of 895, 989, 208, 315?

Answer: LCM of 895, 989, 208, 315 is 11599071120.

2. How to calculate the LCM of 895, 989, 208, 315?

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 895, 989, 208, 315.

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}.