Given numbers are 479,750,596,972,829

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

The LCM of 479,750,596,972,829 is 7188736918500.

Find LCM of 479,750,596,972,829 with Prime Factorization

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

2 x 2 x 3 x 479 x 125 x 149 x 81 x 829 = 7188736918500

Therefore, the lowest common multiple of 479,750,596,972,829 is 7188736918500.

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.

479 x 750 x 596 x 972 x 829 = 172529686044000

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.

479 : 1, 479

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

596 : 1, 2, 4, 149, 298, 596

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,750,596,972,829, is 1.

Now, the common factors can be found like this.

479:479

750:2x 3x 5x 5x 5

596:2x 2x 149

972:2x 2x 3x 3x 3x 3x 3

829:829

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 3 = 24

Therefore, the value for common factors is 24.

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 = 172529686044000/(1x24)

LCM = 172529686044000/24

LCM = 7188736918500

Thus, we can understand that the LCM of 479,750,596,972,829 is 7188736918500.

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

• LCM of 324, 974, 635, 617, 443
• LCM of 640, 810, 886, 479, 465
• LCM of 760, 654, 428, 440, 740
• LCM of 372, 447, 623, 926, 139
• LCM of 961, 942, 613, 961, 859

1. What is the LCM of 479, 750, 596, 972, 829?

Answer: LCM of 479, 750, 596, 972, 829 is 7188736918500.

2. How to calculate the LCM of 479, 750, 596, 972, 829?

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 479, 750, 596, 972, 829.

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}.