Given numbers are 745,421,314,596

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

The LCM of 745,421,314,596 is 196969060.

Find LCM of 745,421,314,596 with Prime Factorization

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

2 x 149 x 5 x 421 x 157 x 2 = 196969060

Therefore, the lowest common multiple of 745,421,314,596 is 196969060.

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 421 x 314 x 596 = 58696779880

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

421 : 1, 421

314 : 1, 2, 157, 314

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,421,314,596, is 1.

Now, the common factors can be found like this.

745:5x 149

421:421

314:2x 157

596:2x 2x 149

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 58696779880/(1x298)

LCM = 58696779880/298

LCM = 196969060

Thus, we can understand that the LCM of 745,421,314,596 is 196969060.

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

• LCM of 247, 541, 958, 890
• LCM of 449, 350, 735, 445
• LCM of 301, 626, 854, 352
• LCM of 592, 290, 146, 604
• LCM of 608, 921, 431, 697

1. What is the LCM of 745, 421, 314, 596?

Answer: LCM of 745, 421, 314, 596 is 196969060.

2. How to calculate the LCM of 745, 421, 314, 596?

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, 421, 314, 596.

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}.