Given numbers are 345,641,677,242,738

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

The LCM of 345,641,677,242,738 is 4456421601390.

Find LCM of 345,641,677,242,738 with Prime Factorization

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

2 x 3 x 115 x 641 x 677 x 121 x 123 = 4456421601390

Therefore, the lowest common multiple of 345,641,677,242,738 is 4456421601390.

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.

345 x 641 x 677 x 242 x 738 = 26738529608340

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

641 : 1, 641

677 : 1, 677

242 : 1, 2, 11, 22, 121, 242

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,641,677,242,738, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

641:641

677:677

242:2x 11x 11

738:2x 3x 3x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 26738529608340/(1x6)

LCM = 26738529608340/6

LCM = 4456421601390

Thus, we can understand that the LCM of 345,641,677,242,738 is 4456421601390.

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

• LCM of 483, 669, 145, 601, 635
• LCM of 682, 624, 120, 947, 630
• LCM of 308, 421, 516, 677, 899
• LCM of 253, 808, 615, 223, 262
• LCM of 123, 618, 611, 930, 856

1. What is the LCM of 345, 641, 677, 242, 738?

Answer: LCM of 345, 641, 677, 242, 738 is 4456421601390.

2. How to calculate the LCM of 345, 641, 677, 242, 738?

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 345, 641, 677, 242, 738.

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}.