Given numbers are 740,292,440,169,306

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

The LCM of 740,292,440,169,306 is 30729493080.

Find LCM of 740,292,440,169,306 with Prime Factorization

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

2 x 2 x 5 x 37 x 73 x 22 x 169 x 153 = 30729493080

Therefore, the lowest common multiple of 740,292,440,169,306 is 30729493080.

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 292 x 440 x 169 x 306 = 4916718892800

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

292 : 1, 2, 4, 73, 146, 292

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

169 : 1, 13, 169

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,292,440,169,306, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

292:2x 2x 73

440:2x 2x 2x 5x 11

169:13x 13

306:2x 3x 3x 17

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 4916718892800/(1x160)

LCM = 4916718892800/160

LCM = 30729493080

Thus, we can understand that the LCM of 740,292,440,169,306 is 30729493080.

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

• LCM of 564, 287, 305, 567, 720
• LCM of 934, 634, 122, 313, 566
• LCM of 749, 355, 793, 920, 885
• LCM of 618, 459, 429, 383, 883
• LCM of 436, 164, 965, 798, 720

1. What is the LCM of 740, 292, 440, 169, 306?

Answer: LCM of 740, 292, 440, 169, 306 is 30729493080.

2. How to calculate the LCM of 740, 292, 440, 169, 306?

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, 292, 440, 169, 306.

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}.