Given numbers are 945,542,214

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

The LCM of 945,542,214 is 54804330.

Find LCM of 945,542,214 with Prime Factorization

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

2 x 945 x 271 x 107 = 54804330

Therefore, the lowest common multiple of 945,542,214 is 54804330.

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.

945 x 542 x 214 = 109608660

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

542 : 1, 2, 271, 542

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,542,214, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

542:2x 271

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 = 109608660/(1x2)

LCM = 109608660/2

LCM = 54804330

Thus, we can understand that the LCM of 945,542,214 is 54804330.

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

• LCM of 956, 881, 832
• LCM of 430, 127, 794
• LCM of 535, 956, 618
• LCM of 342, 665, 370
• LCM of 469, 930, 326

1. What is the LCM of 945, 542, 214?

Answer: LCM of 945, 542, 214 is 54804330.

2. How to calculate the LCM of 945, 542, 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 945, 542, 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}.