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LCM of 843, 612, 767, 224, 428

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


Find the LCM of 843, 612, 767, 224, 428 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 843, 612, 767, 224, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,612,767,224,428

Given numbers are 843,612,767,224,428

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

The LCM of 843,612,767,224,428 is 790359923808.

Find LCM of 843,612,767,224,428 with Prime Factorization


2 843, 612, 767, 224, 428
2 843, 306, 767, 112, 214
3 843, 153, 767, 56, 107
281, 51, 767, 56, 107

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

2 x 2 x 3 x 281 x 51 x 767 x 56 x 107 = 790359923808

Therefore, the lowest common multiple of 843,612,767,224,428 is 790359923808.

LCM Formula to Find Lowest Common Multiple of 843,612,767,224,428

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.

843 x 612 x 767 x 224 x 428 = 37937276342784

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.

843 : 1, 3, 281, 843

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

767 : 1, 13, 59, 767

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,612,767,224,428, is 1.

Now, the common factors can be found like this.

843:3x 281

612:2x 2x 3x 3x 17

767:13x 59

224:2x 2x 2x 2x 2x 7

428:2x 2x 107

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 3 = 48

Therefore, the value for common factors is 48.

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 = 37937276342784/(1x48)

LCM = 37937276342784/48

LCM = 790359923808

Thus, we can understand that the LCM of 843,612,767,224,428 is 790359923808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 612, 767, 224, 428

1. What is the LCM of 843, 612, 767, 224, 428?

Answer: LCM of 843, 612, 767, 224, 428 is 790359923808.

2. How to calculate the LCM of 843, 612, 767, 224, 428?

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 843, 612, 767, 224, 428.

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}.