Given numbers are 532,527,171,214

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

The LCM of 532,527,171,214 is 269990532.

Find LCM of 532,527,171,214 with Prime Factorization

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

2 x 19 x 14 x 527 x 9 x 107 = 269990532

Therefore, the lowest common multiple of 532,527,171,214 is 269990532.

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.

532 x 527 x 171 x 214 = 10259640216

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.

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

527 : 1, 17, 31, 527

171 : 1, 3, 9, 19, 57, 171

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,527,171,214, is 1.

Now, the common factors can be found like this.

532:2x 2x 7x 19

527:17x 31

171:3x 3x 19

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.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 10259640216/(1x38)

LCM = 10259640216/38

LCM = 269990532

Thus, we can understand that the LCM of 532,527,171,214 is 269990532.

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

• LCM of 674, 187, 991, 263
• LCM of 558, 791, 194, 127
• LCM of 575, 804, 315, 971
• LCM of 404, 594, 947, 589
• LCM of 976, 728, 828, 986

1. What is the LCM of 532, 527, 171, 214?

Answer: LCM of 532, 527, 171, 214 is 269990532.

2. How to calculate the LCM of 532, 527, 171, 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 532, 527, 171, 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}.