Given numbers are 452,504,720,719

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

The LCM of 452,504,720,719 is 409484880.

Find LCM of 452,504,720,719 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 113 x 7 x 10 x 719 = 409484880

Therefore, the lowest common multiple of 452,504,720,719 is 409484880.

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.

452 x 504 x 720 x 719 = 117931645440

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.

452 : 1, 2, 4, 113, 226, 452

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,504,720,719, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

504:2x 2x 2x 3x 3x 7

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

719:719

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 117931645440/(1x288)

LCM = 117931645440/288

LCM = 409484880

Thus, we can understand that the LCM of 452,504,720,719 is 409484880.

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

• LCM of 959, 926, 631, 937
• LCM of 660, 924, 660, 616
• LCM of 766, 572, 988, 499
• LCM of 349, 617, 510, 755
• LCM of 412, 380, 173, 431

1. What is the LCM of 452, 504, 720, 719?

Answer: LCM of 452, 504, 720, 719 is 409484880.

2. How to calculate the LCM of 452, 504, 720, 719?

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 452, 504, 720, 719.

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}.