Given numbers are 966,456,590,537,749

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

The LCM of 966,456,590,537,749 is 414810311160.

Find LCM of 966,456,590,537,749 with Prime Factorization

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

2 x 3 x 7 x 23 x 76 x 295 x 179 x 107 = 414810311160

Therefore, the lowest common multiple of 966,456,590,537,749 is 414810311160.

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.

966 x 456 x 590 x 537 x 749 = 104532198412320

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

590 : 1, 2, 5, 10, 59, 118, 295, 590

537 : 1, 3, 179, 537

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,456,590,537,749, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

456:2x 2x 2x 3x 19

590:2x 5x 59

537:3x 179

749:7x 107

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 104532198412320/(1x252)

LCM = 104532198412320/252

LCM = 414810311160

Thus, we can understand that the LCM of 966,456,590,537,749 is 414810311160.

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

• LCM of 975, 998, 695, 892, 830
• LCM of 598, 381, 343, 226, 292
• LCM of 976, 932, 187, 334, 257
• LCM of 301, 952, 285, 887, 213
• LCM of 947, 851, 356, 854, 813

1. What is the LCM of 966, 456, 590, 537, 749?

Answer: LCM of 966, 456, 590, 537, 749 is 414810311160.

2. How to calculate the LCM of 966, 456, 590, 537, 749?

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 966, 456, 590, 537, 749.

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}.