Given numbers are 428,645,497,420,672

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

The LCM of 428,645,497,420,672 is 1097614560.

Find LCM of 428,645,497,420,672 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 107 x 43 x 71 x 1 x 8 = 1097614560

Therefore, the lowest common multiple of 428,645,497,420,672 is 1097614560.

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 645 x 497 x 420 x 672 = 38723841676800

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

645 : 1, 3, 5, 15, 43, 129, 215, 645

497 : 1, 7, 71, 497

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,645,497,420,672, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

645:3x 5x 43

497:7x 71

420:2x 2x 3x 5x 7

672:2x 2x 2x 2x 2x 3x 7

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 7x 7 = 35280

Therefore, the value for common factors is 35280.

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 = 38723841676800/(1x35280)

LCM = 38723841676800/35280

LCM = 1097614560

Thus, we can understand that the LCM of 428,645,497,420,672 is 1097614560.

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

• LCM of 117, 102, 934, 167, 168
• LCM of 346, 545, 852, 130, 540
• LCM of 160, 260, 970, 716, 752
• LCM of 329, 939, 162, 564, 375
• LCM of 764, 644, 739, 831, 782

1. What is the LCM of 428, 645, 497, 420, 672?

Answer: LCM of 428, 645, 497, 420, 672 is 1097614560.

2. How to calculate the LCM of 428, 645, 497, 420, 672?

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, 645, 497, 420, 672.

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}.