Given numbers are 740,413,406,420

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

The LCM of 740,413,406,420 is 26588940.

Find LCM of 740,413,406,420 with Prime Factorization

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

2 x 2 x 5 x 7 x 37 x 59 x 29 x 3 = 26588940

Therefore, the lowest common multiple of 740,413,406,420 is 26588940.

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.

740 x 413 x 406 x 420 = 52114322400

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

413 : 1, 7, 59, 413

406 : 1, 2, 7, 14, 29, 58, 203, 406

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,413,406,420, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

413:7x 59

406:2x 7x 29

420:2x 2x 3x 5x 7

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 5x 7x 7 = 1960

Therefore, the value for common factors is 1960.

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 = 52114322400/(1x1960)

LCM = 52114322400/1960

LCM = 26588940

Thus, we can understand that the LCM of 740,413,406,420 is 26588940.

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

• LCM of 974, 642, 428, 994
• LCM of 483, 314, 497, 587
• LCM of 753, 531, 406, 575
• LCM of 841, 386, 722, 449
• LCM of 773, 455, 936, 424

1. What is the LCM of 740, 413, 406, 420?

Answer: LCM of 740, 413, 406, 420 is 26588940.

2. How to calculate the LCM of 740, 413, 406, 420?

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 740, 413, 406, 420.

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}.