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LCM of 930, 915, 120, 552, 970

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


Find the LCM of 930, 915, 120, 552, 970 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 930, 915, 120, 552, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,915,120,552,970

Given numbers are 930,915,120,552,970

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

The LCM of 930,915,120,552,970 is 506258520.

Find LCM of 930,915,120,552,970 with Prime Factorization


2 930, 915, 120, 552, 970
2 465, 915, 60, 276, 485
2 465, 915, 30, 138, 485
3 465, 915, 15, 69, 485
5 155, 305, 5, 23, 485
31, 61, 1, 23, 97

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

2 x 2 x 2 x 3 x 5 x 31 x 61 x 1 x 23 x 97 = 506258520

Therefore, the lowest common multiple of 930,915,120,552,970 is 506258520.

LCM Formula to Find Lowest Common Multiple of 930,915,120,552,970

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.

930 x 915 x 120 x 552 x 970 = 54675920160000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

915 : 1, 3, 5, 15, 61, 183, 305, 915

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,915,120,552,970, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

915:3x 5x 61

120:2x 2x 2x 3x 5

552:2x 2x 2x 3x 23

970:2x 5x 97

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 2x 3x 3x 3x 5x 5x 5 = 108000

Therefore, the value for common factors is 108000.

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 = 54675920160000/(1x108000)

LCM = 54675920160000/108000

LCM = 506258520

Thus, we can understand that the LCM of 930,915,120,552,970 is 506258520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 915, 120, 552, 970

1. What is the LCM of 930, 915, 120, 552, 970?

Answer: LCM of 930, 915, 120, 552, 970 is 506258520.

2. How to calculate the LCM of 930, 915, 120, 552, 970?

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 930, 915, 120, 552, 970.

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}.