Given numbers are 427,528,492,524,771

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

The LCM of 427,528,492,524,771 is 311207513232.

Find LCM of 427,528,492,524,771 with Prime Factorization

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

2 x 2 x 3 x 427 x 44 x 41 x 131 x 257 = 311207513232

Therefore, the lowest common multiple of 427,528,492,524,771 is 311207513232.

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.

427 x 528 x 492 x 524 x 771 = 44813881905408

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.

427 : 1, 7, 61, 427

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

524 : 1, 2, 4, 131, 262, 524

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,528,492,524,771, is 1.

Now, the common factors can be found like this.

427:7x 61

528:2x 2x 2x 2x 3x 11

492:2x 2x 3x 41

524:2x 2x 131

771:3x 257

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 3 = 144

Therefore, the value for common factors is 144.

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 = 44813881905408/(1x144)

LCM = 44813881905408/144

LCM = 311207513232

Thus, we can understand that the LCM of 427,528,492,524,771 is 311207513232.

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

• LCM of 483, 948, 976, 960, 812
• LCM of 287, 538, 896, 897, 873
• LCM of 328, 490, 783, 279, 969
• LCM of 227, 193, 395, 819, 304
• LCM of 844, 330, 468, 627, 617

1. What is the LCM of 427, 528, 492, 524, 771?

Answer: LCM of 427, 528, 492, 524, 771 is 311207513232.

2. How to calculate the LCM of 427, 528, 492, 524, 771?

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 427, 528, 492, 524, 771.

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}.