Given numbers are 749,190,523,780

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

The LCM of 749,190,523,780 is 5805394140.

Find LCM of 749,190,523,780 with Prime Factorization

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

2 x 5 x 749 x 19 x 523 x 78 = 5805394140

Therefore, the lowest common multiple of 749,190,523,780 is 5805394140.

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.

749 x 190 x 523 x 780 = 58053941400

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.

749 : 1, 7, 107, 749

190 : 1, 2, 5, 10, 19, 38, 95, 190

523 : 1, 523

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,190,523,780, is 1.

Now, the common factors can be found like this.

749:7x 107

190:2x 5x 19

523:523

780:2x 2x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 58053941400/(1x10)

LCM = 58053941400/10

LCM = 5805394140

Thus, we can understand that the LCM of 749,190,523,780 is 5805394140.

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

• LCM of 920, 108, 683, 579
• LCM of 993, 329, 365, 267
• LCM of 356, 172, 558, 809
• LCM of 658, 742, 375, 270
• LCM of 672, 303, 890, 150

1. What is the LCM of 749, 190, 523, 780?

Answer: LCM of 749, 190, 523, 780 is 5805394140.

2. How to calculate the LCM of 749, 190, 523, 780?

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 749, 190, 523, 780.

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}.