Given numbers are 742,583,689,379

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

The LCM of 742,583,689,379 is 40214174.

Find LCM of 742,583,689,379 with Prime Factorization

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

53 x 14 x 11 x 13 x 379 = 40214174

Therefore, the lowest common multiple of 742,583,689,379 is 40214174.

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.

742 x 583 x 689 x 379 = 112961614766

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

583 : 1, 11, 53, 583

689 : 1, 13, 53, 689

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,583,689,379, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

583:11x 53

689:13x 53

379:379

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

53x 53 = 2809

Therefore, the value for common factors is 2809.

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 = 112961614766/(1x2809)

LCM = 112961614766/2809

LCM = 40214174

Thus, we can understand that the LCM of 742,583,689,379 is 40214174.

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

• LCM of 978, 844, 680, 336
• LCM of 125, 949, 935, 486
• LCM of 100, 225, 312, 536
• LCM of 321, 693, 896, 669
• LCM of 654, 851, 130, 992

1. What is the LCM of 742, 583, 689, 379?

Answer: LCM of 742, 583, 689, 379 is 40214174.

2. How to calculate the LCM of 742, 583, 689, 379?

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 742, 583, 689, 379.

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}.