Given numbers are 720,348,168,471

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

The LCM of 720,348,168,471 is 22947120.

Find LCM of 720,348,168,471 with Prime Factorization

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

2 x 2 x 2 x 3 x 30 x 29 x 7 x 157 = 22947120

Therefore, the lowest common multiple of 720,348,168,471 is 22947120.

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.

720 x 348 x 168 x 471 = 19826311680

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.

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

471 : 1, 3, 157, 471

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,348,168,471, is 3.

Now, the common factors can be found like this.

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

348:2x 2x 3x 29

168:2x 2x 2x 3x 7

471:3x 157

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 = 19826311680/(3x288)

LCM = 19826311680/864

LCM = 22947120

Thus, we can understand that the LCM of 720,348,168,471 is 22947120.

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

• LCM of 923, 639, 125, 321
• LCM of 784, 411, 974, 277
• LCM of 375, 240, 496, 369
• LCM of 230, 713, 710, 914
• LCM of 827, 384, 438, 768

1. What is the LCM of 720, 348, 168, 471?

Answer: LCM of 720, 348, 168, 471 is 22947120.

2. How to calculate the LCM of 720, 348, 168, 471?

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 720, 348, 168, 471.

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}.