Given numbers are 470,782,544,708,958

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

The LCM of 470,782,544,708,958 is 249289150560.

Find LCM of 470,782,544,708,958 with Prime Factorization

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

2 x 2 x 17 x 235 x 23 x 8 x 177 x 479 = 249289150560

Therefore, the lowest common multiple of 470,782,544,708,958 is 249289150560.

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.

470 x 782 x 544 x 708 x 958 = 135613297904640

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

782 : 1, 2, 17, 23, 34, 46, 391, 782

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,782,544,708,958, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

782:2x 17x 23

544:2x 2x 2x 2x 2x 17

708:2x 2x 3x 59

958:2x 479

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 17 = 272

Therefore, the value for common factors is 272.

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 = 135613297904640/(2x272)

LCM = 135613297904640/544

LCM = 249289150560

Thus, we can understand that the LCM of 470,782,544,708,958 is 249289150560.

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

• LCM of 595, 268, 103, 102, 754
• LCM of 789, 308, 402, 398, 286
• LCM of 146, 517, 819, 637, 399
• LCM of 847, 597, 950, 269, 655
• LCM of 323, 865, 399, 254, 792

1. What is the LCM of 470, 782, 544, 708, 958?

Answer: LCM of 470, 782, 544, 708, 958 is 249289150560.

2. How to calculate the LCM of 470, 782, 544, 708, 958?

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 470, 782, 544, 708, 958.

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}.