Given numbers are 948,205,107,223,672

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

The LCM of 948,205,107,223,672 is 259680217440.

Find LCM of 948,205,107,223,672 with Prime Factorization

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

2 x 2 x 3 x 79 x 205 x 107 x 223 x 56 = 259680217440

Therefore, the lowest common multiple of 948,205,107,223,672 is 259680217440.

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 205 x 107 x 223 x 672 = 3116162609280

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

205 : 1, 5, 41, 205

107 : 1, 107

223 : 1, 223

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,205,107,223,672, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

205:5x 41

107:107

223:223

672:2x 2x 2x 2x 2x 3x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3116162609280/(1x12)

LCM = 3116162609280/12

LCM = 259680217440

Thus, we can understand that the LCM of 948,205,107,223,672 is 259680217440.

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

• LCM of 999, 289, 776, 735, 216
• LCM of 933, 927, 581, 870, 597
• LCM of 600, 832, 779, 966, 245
• LCM of 270, 378, 913, 514, 635
• LCM of 702, 575, 608, 906, 935

1. What is the LCM of 948, 205, 107, 223, 672?

Answer: LCM of 948, 205, 107, 223, 672 is 259680217440.

2. How to calculate the LCM of 948, 205, 107, 223, 672?

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, 205, 107, 223, 672.

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}.