Given numbers are 832,480,138,674

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

The LCM of 832,480,138,674 is 96732480.

Find LCM of 832,480,138,674 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 26 x 5 x 23 x 337 = 96732480

Therefore, the lowest common multiple of 832,480,138,674 is 96732480.

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.

832 x 480 x 138 x 674 = 37145272320

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

138 : 1, 2, 3, 6, 23, 46, 69, 138

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,480,138,674, is 2.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

480:2x 2x 2x 2x 2x 3x 5

138:2x 3x 23

674:2x 337

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 37145272320/(2x192)

LCM = 37145272320/384

LCM = 96732480

Thus, we can understand that the LCM of 832,480,138,674 is 96732480.

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

• LCM of 671, 498, 982, 226
• LCM of 388, 450, 916, 147
• LCM of 152, 210, 314, 824
• LCM of 298, 841, 490, 972
• LCM of 283, 371, 113, 288

1. What is the LCM of 832, 480, 138, 674?

Answer: LCM of 832, 480, 138, 674 is 96732480.

2. How to calculate the LCM of 832, 480, 138, 674?

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 832, 480, 138, 674.

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}.