Given numbers are 948,960,107,177,236

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

The LCM of 948,960,107,177,236 is 478777920.

Find LCM of 948,960,107,177,236 with Prime Factorization

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

2 x 2 x 3 x 59 x 79 x 80 x 107 x 1 x 1 = 478777920

Therefore, the lowest common multiple of 948,960,107,177,236 is 478777920.

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.

948 x 960 x 107 x 177 x 236 = 4067697208320

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

107 : 1, 107

177 : 1, 3, 59, 177

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,960,107,177,236, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

960:2x 2x 2x 2x 2x 2x 3x 5

107:107

177:3x 59

236:2x 2x 59

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 59 = 8496

Therefore, the value for common factors is 8496.

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 = 4067697208320/(1x8496)

LCM = 4067697208320/8496

LCM = 478777920

Thus, we can understand that the LCM of 948,960,107,177,236 is 478777920.

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

• LCM of 858, 382, 750, 815, 428
• LCM of 783, 198, 747, 101, 979
• LCM of 719, 518, 260, 773, 589
• LCM of 661, 533, 607, 266, 873
• LCM of 792, 997, 287, 525, 858

1. What is the LCM of 948, 960, 107, 177, 236?

Answer: LCM of 948, 960, 107, 177, 236 is 478777920.

2. How to calculate the LCM of 948, 960, 107, 177, 236?

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 948, 960, 107, 177, 236.

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}.