Given numbers are 528,269,361,741,988

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

The LCM of 528,269,361,741,988 is 666556176.

Find LCM of 528,269,361,741,988 with Prime Factorization

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

2 x 2 x 3 x 13 x 19 x 44 x 269 x 1 x 1 x 19 = 666556176

Therefore, the lowest common multiple of 528,269,361,741,988 is 666556176.

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.

528 x 269 x 361 x 741 x 988 = 37537777607616

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.

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

269 : 1, 269

361 : 1, 19, 361

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,269,361,741,988, is 1.

Now, the common factors can be found like this.

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

269:269

361:19x 19

741:3x 13x 19

988:2x 2x 13x 19

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 13x 19x 19 = 56316

Therefore, the value for common factors is 56316.

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 = 37537777607616/(1x56316)

LCM = 37537777607616/56316

LCM = 666556176

Thus, we can understand that the LCM of 528,269,361,741,988 is 666556176.

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

• LCM of 934, 209, 778, 827, 143
• LCM of 484, 156, 129, 359, 240
• LCM of 465, 813, 969, 274, 187
• LCM of 447, 269, 923, 605, 214
• LCM of 281, 678, 568, 347, 371

1. What is the LCM of 528, 269, 361, 741, 988?

Answer: LCM of 528, 269, 361, 741, 988 is 666556176.

2. How to calculate the LCM of 528, 269, 361, 741, 988?

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 528, 269, 361, 741, 988.

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}.