Given numbers are 654,430,314,749

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

The LCM of 654,430,314,749 is 16534751730.

Find LCM of 654,430,314,749 with Prime Factorization

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

2 x 327 x 215 x 157 x 749 = 16534751730

Therefore, the lowest common multiple of 654,430,314,749 is 16534751730.

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.

654 x 430 x 314 x 749 = 66139006920

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

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

314 : 1, 2, 157, 314

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,430,314,749, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

430:2x 5x 43

314:2x 157

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 2 = 4

Therefore, the value for common factors is 4.

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 = 66139006920/(1x4)

LCM = 66139006920/4

LCM = 16534751730

Thus, we can understand that the LCM of 654,430,314,749 is 16534751730.

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

• LCM of 879, 403, 823, 593
• LCM of 291, 371, 931, 673
• LCM of 288, 376, 610, 546
• LCM of 867, 986, 335, 693
• LCM of 235, 504, 344, 366

1. What is the LCM of 654, 430, 314, 749?

Answer: LCM of 654, 430, 314, 749 is 16534751730.

2. How to calculate the LCM of 654, 430, 314, 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 654, 430, 314, 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}.