Given numbers are 117,678,169,704

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

The LCM of 117,678,169,704 is 120998592.

Find LCM of 117,678,169,704 with Prime Factorization

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

2 x 3 x 13 x 3 x 113 x 13 x 352 = 120998592

Therefore, the lowest common multiple of 117,678,169,704 is 120998592.

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.

117 x 678 x 169 x 704 = 9437890176

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.

117 : 1, 3, 9, 13, 39, 117

678 : 1, 2, 3, 6, 113, 226, 339, 678

169 : 1, 13, 169

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,678,169,704, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

678:2x 3x 113

169:13x 13

704:2x 2x 2x 2x 2x 2x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 9437890176/(1x78)

LCM = 9437890176/78

LCM = 120998592

Thus, we can understand that the LCM of 117,678,169,704 is 120998592.

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

• LCM of 399, 119, 951, 320
• LCM of 705, 427, 832, 649
• LCM of 841, 843, 163, 950
• LCM of 338, 703, 728, 238
• LCM of 965, 925, 314, 672

1. What is the LCM of 117, 678, 169, 704?

Answer: LCM of 117, 678, 169, 704 is 120998592.

2. How to calculate the LCM of 117, 678, 169, 704?

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 117, 678, 169, 704.

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}.