Given numbers are 381,492,720,437,679

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

The LCM of 381,492,720,437,679 is 1112426395920.

Find LCM of 381,492,720,437,679 with Prime Factorization

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

2 x 2 x 3 x 127 x 41 x 60 x 437 x 679 = 1112426395920

Therefore, the lowest common multiple of 381,492,720,437,679 is 1112426395920.

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.

381 x 492 x 720 x 437 x 679 = 40047350253120

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.

381 : 1, 3, 127, 381

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

437 : 1, 19, 23, 437

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,492,720,437,679, is 1.

Now, the common factors can be found like this.

381:3x 127

492:2x 2x 3x 41

720:2x 2x 2x 2x 3x 3x 5

437:19x 23

679:7x 97

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 40047350253120/(1x36)

LCM = 40047350253120/36

LCM = 1112426395920

Thus, we can understand that the LCM of 381,492,720,437,679 is 1112426395920.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 410, 734, 523, 485, 548
• LCM of 778, 798, 283, 759, 410
• LCM of 870, 327, 951, 900, 261
• LCM of 955, 340, 750, 962, 793
• LCM of 482, 347, 378, 934, 875

1. What is the LCM of 381, 492, 720, 437, 679?

Answer: LCM of 381, 492, 720, 437, 679 is 1112426395920.

2. How to calculate the LCM of 381, 492, 720, 437, 679?

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 381, 492, 720, 437, 679.

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}.