Given numbers are 654,642,303,861,748

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

The LCM of 654,642,303,861,748 is 758641154964.

Find LCM of 654,642,303,861,748 with Prime Factorization

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

2 x 3 x 109 x 107 x 101 x 287 x 374 = 758641154964

Therefore, the lowest common multiple of 654,642,303,861,748 is 758641154964.

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.

654 x 642 x 303 x 861 x 748 = 81933244736112

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

642 : 1, 2, 3, 6, 107, 214, 321, 642

303 : 1, 3, 101, 303

861 : 1, 3, 7, 21, 41, 123, 287, 861

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,642,303,861,748, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

642:2x 3x 107

303:3x 101

861:3x 7x 41

748:2x 2x 11x 17

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 81933244736112/(1x108)

LCM = 81933244736112/108

LCM = 758641154964

Thus, we can understand that the LCM of 654,642,303,861,748 is 758641154964.

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

• LCM of 165, 978, 505, 467, 144
• LCM of 828, 784, 262, 366, 230
• LCM of 821, 336, 412, 219, 870
• LCM of 623, 679, 574, 574, 871
• LCM of 707, 948, 220, 851, 466

1. What is the LCM of 654, 642, 303, 861, 748?

Answer: LCM of 654, 642, 303, 861, 748 is 758641154964.

2. How to calculate the LCM of 654, 642, 303, 861, 748?

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 654, 642, 303, 861, 748.

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}.