Given numbers are 961,624,741,312,274

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

The LCM of 961,624,741,312,274 is 1560925392.

Find LCM of 961,624,741,312,274 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 961 x 1 x 19 x 2 x 137 = 1560925392

Therefore, the lowest common multiple of 961,624,741,312,274 is 1560925392.

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.

961 x 624 x 741 x 312 x 274 = 37986680339712

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.

961 : 1, 31, 961

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

741 : 1, 3, 13, 19, 39, 57, 247, 741

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,624,741,312,274, is 1.

Now, the common factors can be found like this.

961:31x 31

624:2x 2x 2x 2x 3x 13

741:3x 13x 19

312:2x 2x 2x 3x 13

274:2x 137

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 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 37986680339712/(1x24336)

LCM = 37986680339712/24336

LCM = 1560925392

Thus, we can understand that the LCM of 961,624,741,312,274 is 1560925392.

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

• LCM of 453, 649, 563, 448, 775
• LCM of 604, 162, 113, 639, 646
• LCM of 422, 280, 457, 216, 282
• LCM of 980, 925, 253, 570, 835
• LCM of 269, 460, 123, 968, 706

1. What is the LCM of 961, 624, 741, 312, 274?

Answer: LCM of 961, 624, 741, 312, 274 is 1560925392.

2. How to calculate the LCM of 961, 624, 741, 312, 274?

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 961, 624, 741, 312, 274.

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}.