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LCM of 264, 741, 714, 946

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


Find the LCM of 264, 741, 714, 946 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 264, 741, 714, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,741,714,946

Given numbers are 264,741,714,946

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

The LCM of 264,741,714,946 is 333669336.

Find LCM of 264,741,714,946 with Prime Factorization


2 264, 741, 714, 946
3 132, 741, 357, 473
11 44, 247, 119, 473
4, 247, 119, 43

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

2 x 3 x 11 x 4 x 247 x 119 x 43 = 333669336

Therefore, the lowest common multiple of 264,741,714,946 is 333669336.

LCM Formula to Find Lowest Common Multiple of 264,741,714,946

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.

264 x 741 x 714 x 946 = 132133057056

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

741 : 1, 3, 13, 19, 39, 57, 247, 741

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,741,714,946, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

741:3x 13x 19

714:2x 3x 7x 17

946:2x 11x 43

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 132133057056/(1x396)

LCM = 132133057056/396

LCM = 333669336

Thus, we can understand that the LCM of 264,741,714,946 is 333669336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 741, 714, 946

1. What is the LCM of 264, 741, 714, 946?

Answer: LCM of 264, 741, 714, 946 is 333669336.

2. How to calculate the LCM of 264, 741, 714, 946?

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 264, 741, 714, 946.

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}.