Given numbers are 319,957,473,748

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

The LCM of 319,957,473,748 is 2798268.

Find LCM of 319,957,473,748 with Prime Factorization

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

11 x 29 x 1 x 3 x 43 x 68 = 2798268

Therefore, the lowest common multiple of 319,957,473,748 is 2798268.

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.

319 x 957 x 473 x 748 = 108010346532

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.

319 : 1, 11, 29, 319

957 : 1, 3, 11, 29, 33, 87, 319, 957

473 : 1, 11, 43, 473

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,957,473,748, is 11.

Now, the common factors can be found like this.

319:11x 29

957:3x 11x 29

473:11x 43

748:2x 2x 11x 17

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

11x 11x 29 = 3509

Therefore, the value for common factors is 3509.

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 = 108010346532/(11x3509)

LCM = 108010346532/38599

LCM = 2798268

Thus, we can understand that the LCM of 319,957,473,748 is 2798268.

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

• LCM of 190, 233, 661, 115
• LCM of 241, 947, 601, 323
• LCM of 817, 201, 616, 244
• LCM of 950, 493, 650, 756
• LCM of 419, 764, 304, 894

1. What is the LCM of 319, 957, 473, 748?

Answer: LCM of 319, 957, 473, 748 is 2798268.

2. How to calculate the LCM of 319, 957, 473, 748?

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 319, 957, 473, 748.

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}.