Given numbers are 740,676,149,319,689

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

The LCM of 740,676,149,319,689 is 315044023580.

Find LCM of 740,676,149,319,689 with Prime Factorization

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

2 x 2 x 13 x 185 x 13 x 149 x 319 x 53 = 315044023580

Therefore, the lowest common multiple of 740,676,149,319,689 is 315044023580.

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 676 x 149 x 319 x 689 = 16382289226160

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

149 : 1, 149

319 : 1, 11, 29, 319

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,676,149,319,689, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

676:2x 2x 13x 13

149:149

319:11x 29

689:13x 53

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 13 = 52

Therefore, the value for common factors is 52.

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 = 16382289226160/(1x52)

LCM = 16382289226160/52

LCM = 315044023580

Thus, we can understand that the LCM of 740,676,149,319,689 is 315044023580.

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

• LCM of 149, 711, 300, 557, 285
• LCM of 819, 410, 166, 814, 346
• LCM of 481, 619, 128, 864, 870
• LCM of 449, 402, 462, 952, 852
• LCM of 218, 646, 758, 149, 882

1. What is the LCM of 740, 676, 149, 319, 689?

Answer: LCM of 740, 676, 149, 319, 689 is 315044023580.

2. How to calculate the LCM of 740, 676, 149, 319, 689?

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, 676, 149, 319, 689.

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}.