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LCM of 268, 251, 210, 242, 527

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 268, 251, 210, 242, 527 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 268, 251, 210, 242, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,251,210,242,527

Given numbers are 268,251,210,242,527

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

The LCM of 268,251,210,242,527 is 450395248380.

Find LCM of 268,251,210,242,527 with Prime Factorization


2 268, 251, 210, 242, 527
134, 251, 105, 121, 527

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

2 x 134 x 251 x 105 x 121 x 527 = 450395248380

Therefore, the lowest common multiple of 268,251,210,242,527 is 450395248380.

LCM Formula to Find Lowest Common Multiple of 268,251,210,242,527

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.

268 x 251 x 210 x 242 x 527 = 1801580993520

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.

268 : 1, 2, 4, 67, 134, 268

251 : 1, 251

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

242 : 1, 2, 11, 22, 121, 242

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,251,210,242,527, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

251:251

210:2x 3x 5x 7

242:2x 11x 11

527:17x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1801580993520/(1x4)

LCM = 1801580993520/4

LCM = 450395248380

Thus, we can understand that the LCM of 268,251,210,242,527 is 450395248380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 251, 210, 242, 527

1. What is the LCM of 268, 251, 210, 242, 527?

Answer: LCM of 268, 251, 210, 242, 527 is 450395248380.

2. How to calculate the LCM of 268, 251, 210, 242, 527?

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 268, 251, 210, 242, 527.

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}.