Given numbers are 769,678,214

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

The LCM of 769,678,214 is 55787874.

Find LCM of 769,678,214 with Prime Factorization

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

2 x 769 x 339 x 107 = 55787874

Therefore, the lowest common multiple of 769,678,214 is 55787874.

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 678 x 214 = 111575748

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

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,678,214, is 1.

Now, the common factors can be found like this.

769:769

678:2x 3x 113

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 111575748/(1x2)

LCM = 111575748/2

LCM = 55787874

Thus, we can understand that the LCM of 769,678,214 is 55787874.

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

• LCM of 158, 921, 277
• LCM of 867, 922, 446
• LCM of 280, 914, 949
• LCM of 477, 253, 352
• LCM of 462, 423, 738

1. What is the LCM of 769, 678, 214?

Answer: LCM of 769, 678, 214 is 55787874.

2. How to calculate the LCM of 769, 678, 214?

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, 678, 214.

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}.