Given numbers are 313,545,506,654

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

The LCM of 313,545,506,654 is 258948030.

Find LCM of 313,545,506,654 with Prime Factorization

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

2 x 109 x 313 x 5 x 253 x 3 = 258948030

Therefore, the lowest common multiple of 313,545,506,654 is 258948030.

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.

313 x 545 x 506 x 654 = 56450670540

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.

313 : 1, 313

545 : 1, 5, 109, 545

506 : 1, 2, 11, 22, 23, 46, 253, 506

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,545,506,654, is 1.

Now, the common factors can be found like this.

313:313

545:5x 109

506:2x 11x 23

654:2x 3x 109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 56450670540/(1x218)

LCM = 56450670540/218

LCM = 258948030

Thus, we can understand that the LCM of 313,545,506,654 is 258948030.

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

• LCM of 115, 687, 568, 407
• LCM of 383, 324, 722, 684
• LCM of 281, 874, 459, 168
• LCM of 680, 970, 773, 879
• LCM of 311, 954, 459, 898

1. What is the LCM of 313, 545, 506, 654?

Answer: LCM of 313, 545, 506, 654 is 258948030.

2. How to calculate the LCM of 313, 545, 506, 654?

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 313, 545, 506, 654.

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}.