Given numbers are 110,169,420,528

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

The LCM of 110,169,420,528 is 3123120.

Find LCM of 110,169,420,528 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 1 x 169 x 7 x 4 = 3123120

Therefore, the lowest common multiple of 110,169,420,528 is 3123120.

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.

110 x 169 x 420 x 528 = 4122518400

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

169 : 1, 13, 169

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,169,420,528, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

169:13x 13

420:2x 2x 3x 5x 7

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

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 4122518400/(1x1320)

LCM = 4122518400/1320

LCM = 3123120

Thus, we can understand that the LCM of 110,169,420,528 is 3123120.

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

• LCM of 462, 141, 907, 428
• LCM of 655, 143, 286, 692
• LCM of 499, 497, 880, 546
• LCM of 772, 222, 257, 106
• LCM of 137, 954, 601, 467

1. What is the LCM of 110, 169, 420, 528?

Answer: LCM of 110, 169, 420, 528 is 3123120.

2. How to calculate the LCM of 110, 169, 420, 528?

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 110, 169, 420, 528.

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}.