Given numbers are 428,536,374,749

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

The LCM of 428,536,374,749 is 75073768.

Find LCM of 428,536,374,749 with Prime Factorization

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

2 x 2 x 107 x 1 x 134 x 187 x 7 = 75073768

Therefore, the lowest common multiple of 428,536,374,749 is 75073768.

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.

428 x 536 x 374 x 749 = 64263145408

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.

428 : 1, 2, 4, 107, 214, 428

536 : 1, 2, 4, 8, 67, 134, 268, 536

374 : 1, 2, 11, 17, 22, 34, 187, 374

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,536,374,749, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

536:2x 2x 2x 67

374:2x 11x 17

749:7x 107

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 107 = 856

Therefore, the value for common factors is 856.

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 = 64263145408/(1x856)

LCM = 64263145408/856

LCM = 75073768

Thus, we can understand that the LCM of 428,536,374,749 is 75073768.

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

• LCM of 564, 945, 969, 165
• LCM of 590, 900, 367, 235
• LCM of 566, 404, 196, 380
• LCM of 994, 966, 484, 913
• LCM of 196, 316, 237, 236

1. What is the LCM of 428, 536, 374, 749?

Answer: LCM of 428, 536, 374, 749 is 75073768.

2. How to calculate the LCM of 428, 536, 374, 749?

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 428, 536, 374, 749.

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}.