Given numbers are 748,720,271,430

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

The LCM of 748,720,271,430 is 1568959920.

Find LCM of 748,720,271,430 with Prime Factorization

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

2 x 2 x 5 x 187 x 36 x 271 x 43 = 1568959920

Therefore, the lowest common multiple of 748,720,271,430 is 1568959920.

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.

748 x 720 x 271 x 430 = 62758396800

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.

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

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

271 : 1, 271

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,720,271,430, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

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

271:271

430:2x 5x 43

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 5 = 40

Therefore, the value for common factors is 40.

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 = 62758396800/(1x40)

LCM = 62758396800/40

LCM = 1568959920

Thus, we can understand that the LCM of 748,720,271,430 is 1568959920.

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

• LCM of 696, 627, 199, 238
• LCM of 228, 135, 407, 807
• LCM of 118, 302, 909, 903
• LCM of 223, 751, 998, 678
• LCM of 479, 104, 249, 365

1. What is the LCM of 748, 720, 271, 430?

Answer: LCM of 748, 720, 271, 430 is 1568959920.

2. How to calculate the LCM of 748, 720, 271, 430?

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 748, 720, 271, 430.

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}.