Given numbers are 830,672,540,194

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

The LCM of 830,672,540,194 is 243462240.

Find LCM of 830,672,540,194 with Prime Factorization

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

2 x 2 x 3 x 5 x 83 x 56 x 9 x 97 = 243462240

Therefore, the lowest common multiple of 830,672,540,194 is 243462240.

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.

830 x 672 x 540 x 194 = 58430937600

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

194 : 1, 2, 97, 194

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,672,540,194, is 2.

Now, the common factors can be found like this.

830:2x 5x 83

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

540:2x 2x 3x 3x 3x 5

194:2x 97

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 58430937600/(2x120)

LCM = 58430937600/240

LCM = 243462240

Thus, we can understand that the LCM of 830,672,540,194 is 243462240.

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

• LCM of 298, 540, 412, 625
• LCM of 408, 937, 927, 800
• LCM of 971, 135, 149, 300
• LCM of 854, 580, 751, 765
• LCM of 154, 279, 113, 644

1. What is the LCM of 830, 672, 540, 194?

Answer: LCM of 830, 672, 540, 194 is 243462240.

2. How to calculate the LCM of 830, 672, 540, 194?

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 830, 672, 540, 194.

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}.