Given numbers are 349,735,574,144,627

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

The LCM of 349,735,574,144,627 is 105507697680.

Find LCM of 349,735,574,144,627 with Prime Factorization

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

2 x 3 x 7 x 349 x 35 x 41 x 24 x 209 = 105507697680

Therefore, the lowest common multiple of 349,735,574,144,627 is 105507697680.

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.

349 x 735 x 574 x 144 x 627 = 13293969907680

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.

349 : 1, 349

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

574 : 1, 2, 7, 14, 41, 82, 287, 574

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,735,574,144,627, is 1.

Now, the common factors can be found like this.

349:349

735:3x 5x 7x 7

574:2x 7x 41

144:2x 2x 2x 2x 3x 3

627:3x 11x 19

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 13293969907680/(1x126)

LCM = 13293969907680/126

LCM = 105507697680

Thus, we can understand that the LCM of 349,735,574,144,627 is 105507697680.

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

• LCM of 566, 544, 665, 695, 639
• LCM of 440, 978, 189, 886, 600
• LCM of 615, 572, 145, 979, 831
• LCM of 356, 556, 590, 536, 831
• LCM of 307, 645, 649, 807, 293

1. What is the LCM of 349, 735, 574, 144, 627?

Answer: LCM of 349, 735, 574, 144, 627 is 105507697680.

2. How to calculate the LCM of 349, 735, 574, 144, 627?

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 349, 735, 574, 144, 627.

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}.