Given numbers are 407,535,749,229

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

The LCM of 407,535,749,229 is 349045235.

Find LCM of 407,535,749,229 with Prime Factorization

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

107 x 407 x 5 x 7 x 229 = 349045235

Therefore, the lowest common multiple of 407,535,749,229 is 349045235.

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.

407 x 535 x 749 x 229 = 37347840145

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.

407 : 1, 11, 37, 407

535 : 1, 5, 107, 535

749 : 1, 7, 107, 749

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,535,749,229, is 1.

Now, the common factors can be found like this.

407:11x 37

535:5x 107

749:7x 107

229:229

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

107 = 107

Therefore, the value for common factors is 107.

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 = 37347840145/(1x107)

LCM = 37347840145/107

LCM = 349045235

Thus, we can understand that the LCM of 407,535,749,229 is 349045235.

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

• LCM of 609, 933, 210, 419
• LCM of 530, 585, 636, 989
• LCM of 133, 289, 276, 738
• LCM of 280, 147, 255, 463
• LCM of 745, 349, 645, 446

1. What is the LCM of 407, 535, 749, 229?

Answer: LCM of 407, 535, 749, 229 is 349045235.

2. How to calculate the LCM of 407, 535, 749, 229?

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 407, 535, 749, 229.

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}.