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LCM of 901, 144, 936, 924, 970

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


Find the LCM of 901, 144, 936, 924, 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 901, 144, 936, 924, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,144,936,924,970

Given numbers are 901,144,936,924,970

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

The LCM of 901,144,936,924,970 is 62988765840.

Find LCM of 901,144,936,924,970 with Prime Factorization


2 901, 144, 936, 924, 970
2 901, 72, 468, 462, 485
2 901, 36, 234, 231, 485
3 901, 18, 117, 231, 485
3 901, 6, 39, 77, 485
901, 2, 13, 77, 485

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

2 x 2 x 2 x 3 x 3 x 901 x 2 x 13 x 77 x 485 = 62988765840

Therefore, the lowest common multiple of 901,144,936,924,970 is 62988765840.

LCM Formula to Find Lowest Common Multiple of 901,144,936,924,970

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.

901 x 144 x 936 x 924 x 970 = 108844587371520

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.

901 : 1, 17, 53, 901

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 901,144,936,924,970, is 1.

Now, the common factors can be found like this.

901:17x 53

144:2x 2x 2x 2x 3x 3

936:2x 2x 2x 3x 3x 13

924:2x 2x 3x 7x 11

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 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 108844587371520/(1x1728)

LCM = 108844587371520/1728

LCM = 62988765840

Thus, we can understand that the LCM of 901,144,936,924,970 is 62988765840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 144, 936, 924, 970

1. What is the LCM of 901, 144, 936, 924, 970?

Answer: LCM of 901, 144, 936, 924, 970 is 62988765840.

2. How to calculate the LCM of 901, 144, 936, 924, 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 901, 144, 936, 924, 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}.