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LCM of 943, 869, 997, 874, 475

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


Find the LCM of 943, 869, 997, 874, 475 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 943, 869, 997, 874, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,869,997,874,475

Given numbers are 943,869,997,874,475

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

The LCM of 943,869,997,874,475 is 776158169050.

Find LCM of 943,869,997,874,475 with Prime Factorization


19 943, 869, 997, 874, 475
23 943, 869, 997, 46, 25
41, 869, 997, 2, 25

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

19 x 23 x 41 x 869 x 997 x 2 x 25 = 776158169050

Therefore, the lowest common multiple of 943,869,997,874,475 is 776158169050.

LCM Formula to Find Lowest Common Multiple of 943,869,997,874,475

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.

943 x 869 x 997 x 874 x 475 = 339181119874850

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.

943 : 1, 23, 41, 943

869 : 1, 11, 79, 869

997 : 1, 997

874 : 1, 2, 19, 23, 38, 46, 437, 874

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,869,997,874,475, is 1.

Now, the common factors can be found like this.

943:23x 41

869:11x 79

997:997

874:2x 19x 23

475:5x 5x 19

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

19x 23 = 437

Therefore, the value for common factors is 437.

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 = 339181119874850/(1x437)

LCM = 339181119874850/437

LCM = 776158169050

Thus, we can understand that the LCM of 943,869,997,874,475 is 776158169050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 869, 997, 874, 475

1. What is the LCM of 943, 869, 997, 874, 475?

Answer: LCM of 943, 869, 997, 874, 475 is 776158169050.

2. How to calculate the LCM of 943, 869, 997, 874, 475?

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 943, 869, 997, 874, 475.

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}.