Given numbers are 430,278,428,749

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

The LCM of 430,278,428,749 is 89535460.

Find LCM of 430,278,428,749 with Prime Factorization

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

2 x 107 x 215 x 139 x 2 x 7 = 89535460

Therefore, the lowest common multiple of 430,278,428,749 is 89535460.

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.

430 x 278 x 428 x 749 = 38321176880

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

278 : 1, 2, 139, 278

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

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,278,428,749, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

278:2x 139

428:2x 2x 107

749:7x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 38321176880/(1x428)

LCM = 38321176880/428

LCM = 89535460

Thus, we can understand that the LCM of 430,278,428,749 is 89535460.

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

• LCM of 741, 137, 151, 724
• LCM of 990, 912, 303, 386
• LCM of 491, 643, 355, 459
• LCM of 495, 785, 293, 176
• LCM of 569, 116, 218, 456

1. What is the LCM of 430, 278, 428, 749?

Answer: LCM of 430, 278, 428, 749 is 89535460.

2. How to calculate the LCM of 430, 278, 428, 749?

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 430, 278, 428, 749.

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}.