Given numbers are 528,840,825,211,746

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

The LCM of 528,840,825,211,746 is 7272157200.

Find LCM of 528,840,825,211,746 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 2 x 7 x 5 x 211 x 373 = 7272157200

Therefore, the lowest common multiple of 528,840,825,211,746 is 7272157200.

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 840 x 825 x 211 x 746 = 57595485024000

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

211 : 1, 211

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,840,825,211,746, is 1.

Now, the common factors can be found like this.

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

840:2x 2x 2x 3x 5x 7

825:3x 5x 5x 11

211:211

746:2x 373

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 3x 5x 11 = 7920

Therefore, the value for common factors is 7920.

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 = 57595485024000/(1x7920)

LCM = 57595485024000/7920

LCM = 7272157200

Thus, we can understand that the LCM of 528,840,825,211,746 is 7272157200.

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

• LCM of 810, 748, 753, 666, 106
• LCM of 758, 847, 850, 408, 100
• LCM of 226, 114, 560, 419, 393
• LCM of 937, 563, 301, 212, 387
• LCM of 908, 211, 506, 701, 378

1. What is the LCM of 528, 840, 825, 211, 746?

Answer: LCM of 528, 840, 825, 211, 746 is 7272157200.

2. How to calculate the LCM of 528, 840, 825, 211, 746?

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, 840, 825, 211, 746.

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}.