Given numbers are 241,754,220,407

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

The LCM of 241,754,220,407 is 739575980.

Find LCM of 241,754,220,407 with Prime Factorization

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

2 x 11 x 241 x 377 x 10 x 37 = 739575980

Therefore, the lowest common multiple of 241,754,220,407 is 739575980.

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.

241 x 754 x 220 x 407 = 16270671560

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.

241 : 1, 241

754 : 1, 2, 13, 26, 29, 58, 377, 754

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,754,220,407, is 1.

Now, the common factors can be found like this.

241:241

754:2x 13x 29

220:2x 2x 5x 11

407:11x 37

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 16270671560/(1x22)

LCM = 16270671560/22

LCM = 739575980

Thus, we can understand that the LCM of 241,754,220,407 is 739575980.

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

• LCM of 375, 600, 738, 682
• LCM of 962, 500, 932, 595
• LCM of 488, 132, 989, 416
• LCM of 784, 738, 647, 709
• LCM of 275, 925, 578, 664

1. What is the LCM of 241, 754, 220, 407?

Answer: LCM of 241, 754, 220, 407 is 739575980.

2. How to calculate the LCM of 241, 754, 220, 407?

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 241, 754, 220, 407.

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}.