Given numbers are 680,560,964,254,748

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

The LCM of 680,560,964,254,748 is 3205165040.

Find LCM of 680,560,964,254,748 with Prime Factorization

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

2 x 2 x 2 x 5 x 17 x 1 x 14 x 241 x 127 x 11 = 3205165040

Therefore, the lowest common multiple of 680,560,964,254,748 is 3205165040.

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.

680 x 560 x 964 x 254 x 748 = 69744391270400

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

964 : 1, 2, 4, 241, 482, 964

254 : 1, 2, 127, 254

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,560,964,254,748, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

560:2x 2x 2x 2x 5x 7

964:2x 2x 241

254:2x 127

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.

2x 2x 2x 2x 2x 2x 2x 5x 17 = 10880

Therefore, the value for common factors is 10880.

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 = 69744391270400/(2x10880)

LCM = 69744391270400/21760

LCM = 3205165040

Thus, we can understand that the LCM of 680,560,964,254,748 is 3205165040.

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

• LCM of 857, 615, 143, 482, 768
• LCM of 295, 161, 952, 196, 902
• LCM of 437, 842, 202, 989, 558
• LCM of 515, 750, 586, 837, 645
• LCM of 359, 514, 619, 410, 597

1. What is the LCM of 680, 560, 964, 254, 748?

Answer: LCM of 680, 560, 964, 254, 748 is 3205165040.

2. How to calculate the LCM of 680, 560, 964, 254, 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 680, 560, 964, 254, 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}.