Given numbers are 769,361,167,114

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

The LCM of 769,361,167,114 is 278164218.

Find LCM of 769,361,167,114 with Prime Factorization

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

19 x 769 x 19 x 167 x 6 = 278164218

Therefore, the lowest common multiple of 769,361,167,114 is 278164218.

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.

769 x 361 x 167 x 114 = 5285120142

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.

769 : 1, 769

361 : 1, 19, 361

167 : 1, 167

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,361,167,114, is 1.

Now, the common factors can be found like this.

769:769

361:19x 19

167:167

114:2x 3x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 5285120142/(1x19)

LCM = 5285120142/19

LCM = 278164218

Thus, we can understand that the LCM of 769,361,167,114 is 278164218.

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

• LCM of 314, 511, 343, 967
• LCM of 650, 177, 836, 474
• LCM of 911, 756, 194, 350
• LCM of 834, 598, 987, 605
• LCM of 292, 468, 820, 479

1. What is the LCM of 769, 361, 167, 114?

Answer: LCM of 769, 361, 167, 114 is 278164218.

2. How to calculate the LCM of 769, 361, 167, 114?

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 769, 361, 167, 114.

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}.