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LCM of 437, 584, 386, 676, 644

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


Find the LCM of 437, 584, 386, 676, 644 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 437, 584, 386, 676, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,584,386,676,644

Given numbers are 437,584,386,676,644

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

The LCM of 437,584,386,676,644 is 58268835352.

Find LCM of 437,584,386,676,644 with Prime Factorization


2 437, 584, 386, 676, 644
2 437, 292, 193, 338, 322
23 437, 146, 193, 169, 161
19, 146, 193, 169, 7

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

2 x 2 x 23 x 19 x 146 x 193 x 169 x 7 = 58268835352

Therefore, the lowest common multiple of 437,584,386,676,644 is 58268835352.

LCM Formula to Find Lowest Common Multiple of 437,584,386,676,644

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.

437 x 584 x 386 x 676 x 644 = 42885862819072

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.

437 : 1, 19, 23, 437

584 : 1, 2, 4, 8, 73, 146, 292, 584

386 : 1, 2, 193, 386

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,584,386,676,644, is 1.

Now, the common factors can be found like this.

437:19x 23

584:2x 2x 2x 73

386:2x 193

676:2x 2x 13x 13

644:2x 2x 7x 23

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 23 = 736

Therefore, the value for common factors is 736.

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 = 42885862819072/(1x736)

LCM = 42885862819072/736

LCM = 58268835352

Thus, we can understand that the LCM of 437,584,386,676,644 is 58268835352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 584, 386, 676, 644

1. What is the LCM of 437, 584, 386, 676, 644?

Answer: LCM of 437, 584, 386, 676, 644 is 58268835352.

2. How to calculate the LCM of 437, 584, 386, 676, 644?

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 437, 584, 386, 676, 644.

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}.