Given numbers are 679,354,906,350,624

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

The LCM of 679,354,906,350,624 is 94367691600.

Find LCM of 679,354,906,350,624 with Prime Factorization

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

2 x 3 x 7 x 97 x 59 x 151 x 25 x 104 = 94367691600

Therefore, the lowest common multiple of 679,354,906,350,624 is 94367691600.

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.

679 x 354 x 906 x 350 x 624 = 47561316566400

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.

679 : 1, 7, 97, 679

354 : 1, 2, 3, 6, 59, 118, 177, 354

906 : 1, 2, 3, 6, 151, 302, 453, 906

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,354,906,350,624, is 1.

Now, the common factors can be found like this.

679:7x 97

354:2x 3x 59

906:2x 3x 151

350:2x 5x 5x 7

624:2x 2x 2x 2x 3x 13

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 47561316566400/(1x504)

LCM = 47561316566400/504

LCM = 94367691600

Thus, we can understand that the LCM of 679,354,906,350,624 is 94367691600.

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

• LCM of 700, 406, 923, 562, 858
• LCM of 182, 636, 889, 946, 525
• LCM of 767, 571, 140, 909, 731
• LCM of 994, 765, 298, 810, 375
• LCM of 706, 318, 399, 819, 637

1. What is the LCM of 679, 354, 906, 350, 624?

Answer: LCM of 679, 354, 906, 350, 624 is 94367691600.

2. How to calculate the LCM of 679, 354, 906, 350, 624?

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 679, 354, 906, 350, 624.

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}.