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LCM of 267, 697, 146, 451

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


Find the LCM of 267, 697, 146, 451 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 267, 697, 146, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 267,697,146,451

Given numbers are 267,697,146,451

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

The LCM of 267,697,146,451 is 298874994.

Find LCM of 267,697,146,451 with Prime Factorization


41 267, 697, 146, 451
267, 17, 146, 11

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

41 x 267 x 17 x 146 x 11 = 298874994

Therefore, the lowest common multiple of 267,697,146,451 is 298874994.

LCM Formula to Find Lowest Common Multiple of 267,697,146,451

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.

267 x 697 x 146 x 451 = 12253874754

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.

267 : 1, 3, 89, 267

697 : 1, 17, 41, 697

146 : 1, 2, 73, 146

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,697,146,451, is 1.

Now, the common factors can be found like this.

267:3x 89

697:17x 41

146:2x 73

451:11x 41

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

41 = 41

Therefore, the value for common factors is 41.

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 = 12253874754/(1x41)

LCM = 12253874754/41

LCM = 298874994

Thus, we can understand that the LCM of 267,697,146,451 is 298874994.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 267, 697, 146, 451

1. What is the LCM of 267, 697, 146, 451?

Answer: LCM of 267, 697, 146, 451 is 298874994.

2. How to calculate the LCM of 267, 697, 146, 451?

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 267, 697, 146, 451.

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}.