Given numbers are 428,476,680,848

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

The LCM of 428,476,680,848 is 53987920.

Find LCM of 428,476,680,848 with Prime Factorization

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

2 x 2 x 2 x 17 x 107 x 7 x 5 x 106 = 53987920

Therefore, the lowest common multiple of 428,476,680,848 is 53987920.

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 476 x 680 x 848 = 117477713920

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,476,680,848, is 4.

Now, the common factors can be found like this.

428:2x 2x 107

476:2x 2x 7x 17

680:2x 2x 2x 5x 17

848:2x 2x 2x 2x 53

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 17 = 544

Therefore, the value for common factors is 544.

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 = 117477713920/(4x544)

LCM = 117477713920/2176

LCM = 53987920

Thus, we can understand that the LCM of 428,476,680,848 is 53987920.

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

• LCM of 731, 608, 322, 456
• LCM of 921, 451, 521, 672
• LCM of 320, 629, 496, 204
• LCM of 126, 441, 749, 382
• LCM of 656, 172, 875, 463

1. What is the LCM of 428, 476, 680, 848?

Answer: LCM of 428, 476, 680, 848 is 53987920.

2. How to calculate the LCM of 428, 476, 680, 848?

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, 476, 680, 848.

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}.