Given numbers are 428,524,220,880,746

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

The LCM of 428,524,220,880,746 is 4600940080.

Find LCM of 428,524,220,880,746 with Prime Factorization

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

2 x 2 x 5 x 11 x 107 x 131 x 1 x 4 x 373 = 4600940080

Therefore, the lowest common multiple of 428,524,220,880,746 is 4600940080.

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.

428 x 524 x 220 x 880 x 746 = 32390618163200

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.

428 : 1, 2, 4, 107, 214, 428

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,524,220,880,746, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

524:2x 2x 131

220:2x 2x 5x 11

880:2x 2x 2x 2x 5x 11

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 2x 2x 5x 11 = 3520

Therefore, the value for common factors is 3520.

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 = 32390618163200/(2x3520)

LCM = 32390618163200/7040

LCM = 4600940080

Thus, we can understand that the LCM of 428,524,220,880,746 is 4600940080.

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

• LCM of 874, 777, 435, 458, 411
• LCM of 801, 787, 772, 763, 869
• LCM of 388, 141, 955, 160, 222
• LCM of 430, 659, 189, 203, 734
• LCM of 164, 171, 220, 600, 274

1. What is the LCM of 428, 524, 220, 880, 746?

Answer: LCM of 428, 524, 220, 880, 746 is 4600940080.

2. How to calculate the LCM of 428, 524, 220, 880, 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 428, 524, 220, 880, 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}.