Given numbers are 745,483,431,596,421

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

The LCM of 745,483,431,596,421 is 261169682340.

Find LCM of 745,483,431,596,421 with Prime Factorization

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

149 x 5 x 483 x 431 x 4 x 421 = 261169682340

Therefore, the lowest common multiple of 745,483,431,596,421 is 261169682340.

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.

745 x 483 x 431 x 596 x 421 = 38914282668660

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.

745 : 1, 5, 149, 745

483 : 1, 3, 7, 21, 23, 69, 161, 483

431 : 1, 431

596 : 1, 2, 4, 149, 298, 596

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,483,431,596,421, is 1.

Now, the common factors can be found like this.

745:5x 149

483:3x 7x 23

431:431

596:2x 2x 149

421:421

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

149 = 149

Therefore, the value for common factors is 149.

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 = 38914282668660/(1x149)

LCM = 38914282668660/149

LCM = 261169682340

Thus, we can understand that the LCM of 745,483,431,596,421 is 261169682340.

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

• LCM of 229, 636, 353, 608, 278
• LCM of 102, 281, 456, 962, 271
• LCM of 815, 264, 508, 846, 827
• LCM of 298, 686, 889, 592, 953
• LCM of 714, 892, 857, 165, 946

1. What is the LCM of 745, 483, 431, 596, 421?

Answer: LCM of 745, 483, 431, 596, 421 is 261169682340.

2. How to calculate the LCM of 745, 483, 431, 596, 421?

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 745, 483, 431, 596, 421.

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}.