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LCM of 947, 901, 572, 623, 694

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


Find the LCM of 947, 901, 572, 623, 694 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 947, 901, 572, 623, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 947,901,572,623,694

Given numbers are 947,901,572,623,694

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

The LCM of 947,901,572,623,694 is 105508711712404.

Find LCM of 947,901,572,623,694 with Prime Factorization


2 947, 901, 572, 623, 694
947, 901, 286, 623, 347

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

2 x 947 x 901 x 286 x 623 x 347 = 105508711712404

Therefore, the lowest common multiple of 947,901,572,623,694 is 105508711712404.

LCM Formula to Find Lowest Common Multiple of 947,901,572,623,694

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.

947 x 901 x 572 x 623 x 694 = 211017423424808

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.

947 : 1, 947

901 : 1, 17, 53, 901

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

623 : 1, 7, 89, 623

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,901,572,623,694, is 1.

Now, the common factors can be found like this.

947:947

901:17x 53

572:2x 2x 11x 13

623:7x 89

694:2x 347

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

2 = 2

Therefore, the value for common factors is 2.

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 = 211017423424808/(1x2)

LCM = 211017423424808/2

LCM = 105508711712404

Thus, we can understand that the LCM of 947,901,572,623,694 is 105508711712404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 947, 901, 572, 623, 694

1. What is the LCM of 947, 901, 572, 623, 694?

Answer: LCM of 947, 901, 572, 623, 694 is 105508711712404.

2. How to calculate the LCM of 947, 901, 572, 623, 694?

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 947, 901, 572, 623, 694.

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}.