Given numbers are 428,767,121,749

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

The LCM of 428,767,121,749 is 278049772.

Find LCM of 428,767,121,749 with Prime Factorization

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

107 x 4 x 767 x 121 x 7 = 278049772

Therefore, the lowest common multiple of 428,767,121,749 is 278049772.

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 767 x 121 x 749 = 29751325604

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

767 : 1, 13, 59, 767

121 : 1, 11, 121

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,767,121,749, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

767:13x 59

121:11x 11

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.

107 = 107

Therefore, the value for common factors is 107.

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 = 29751325604/(1x107)

LCM = 29751325604/107

LCM = 278049772

Thus, we can understand that the LCM of 428,767,121,749 is 278049772.

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

• LCM of 550, 949, 998, 238
• LCM of 671, 694, 978, 147
• LCM of 246, 938, 153, 674
• LCM of 517, 510, 372, 117
• LCM of 847, 239, 997, 636

1. What is the LCM of 428, 767, 121, 749?

Answer: LCM of 428, 767, 121, 749 is 278049772.

2. How to calculate the LCM of 428, 767, 121, 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 428, 767, 121, 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}.