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LCM of 902, 922, 943, 412

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


Find the LCM of 902, 922, 943, 412 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 902, 922, 943, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,922,943,412

Given numbers are 902,922,943,412

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

The LCM of 902,922,943,412 is 1970164636.

Find LCM of 902,922,943,412 with Prime Factorization


2 902, 922, 943, 412
41 451, 461, 943, 206
11, 461, 23, 206

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

2 x 41 x 11 x 461 x 23 x 206 = 1970164636

Therefore, the lowest common multiple of 902,922,943,412 is 1970164636.

LCM Formula to Find Lowest Common Multiple of 902,922,943,412

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.

902 x 922 x 943 x 412 = 323107000304

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

922 : 1, 2, 461, 922

943 : 1, 23, 41, 943

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,922,943,412, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

922:2x 461

943:23x 41

412:2x 2x 103

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 41 = 164

Therefore, the value for common factors is 164.

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 = 323107000304/(1x164)

LCM = 323107000304/164

LCM = 1970164636

Thus, we can understand that the LCM of 902,922,943,412 is 1970164636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 922, 943, 412

1. What is the LCM of 902, 922, 943, 412?

Answer: LCM of 902, 922, 943, 412 is 1970164636.

2. How to calculate the LCM of 902, 922, 943, 412?

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 902, 922, 943, 412.

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}.