Given numbers are 109,620,575,497,749

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

The LCM of 109,620,575,497,749 is 413291234300.

Find LCM of 109,620,575,497,749 with Prime Factorization

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

5 x 7 x 109 x 124 x 115 x 71 x 107 = 413291234300

Therefore, the lowest common multiple of 109,620,575,497,749 is 413291234300.

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.

109 x 620 x 575 x 497 x 749 = 14465193200500

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.

109 : 1, 109

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

575 : 1, 5, 23, 25, 115, 575

497 : 1, 7, 71, 497

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,620,575,497,749, is 1.

Now, the common factors can be found like this.

109:109

620:2x 2x 5x 31

575:5x 5x 23

497:7x 71

749:7x 107

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

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 14465193200500/(1x35)

LCM = 14465193200500/35

LCM = 413291234300

Thus, we can understand that the LCM of 109,620,575,497,749 is 413291234300.

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

• LCM of 255, 317, 413, 298, 230
• LCM of 382, 187, 895, 190, 631
• LCM of 322, 921, 342, 117, 438
• LCM of 363, 584, 925, 980, 918
• LCM of 709, 523, 851, 661, 418

1. What is the LCM of 109, 620, 575, 497, 749?

Answer: LCM of 109, 620, 575, 497, 749 is 413291234300.

2. How to calculate the LCM of 109, 620, 575, 497, 749?

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 109, 620, 575, 497, 749.

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}.