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LCM of 711, 654, 216, 494

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


Find the LCM of 711, 654, 216, 494 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 711, 654, 216, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 711,654,216,494

Given numbers are 711,654,216,494

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

The LCM of 711,654,216,494 is 459414072.

Find LCM of 711,654,216,494 with Prime Factorization


2 711, 654, 216, 494
3 711, 327, 108, 247
3 237, 109, 36, 247
79, 109, 12, 247

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

2 x 3 x 3 x 79 x 109 x 12 x 247 = 459414072

Therefore, the lowest common multiple of 711,654,216,494 is 459414072.

LCM Formula to Find Lowest Common Multiple of 711,654,216,494

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.

711 x 654 x 216 x 494 = 49616719776

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.

711 : 1, 3, 9, 79, 237, 711

654 : 1, 2, 3, 6, 109, 218, 327, 654

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,654,216,494, is 1.

Now, the common factors can be found like this.

711:3x 3x 79

654:2x 3x 109

216:2x 2x 2x 3x 3x 3

494:2x 13x 19

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 3 = 108

Therefore, the value for common factors is 108.

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 = 49616719776/(1x108)

LCM = 49616719776/108

LCM = 459414072

Thus, we can understand that the LCM of 711,654,216,494 is 459414072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 711, 654, 216, 494

1. What is the LCM of 711, 654, 216, 494?

Answer: LCM of 711, 654, 216, 494 is 459414072.

2. How to calculate the LCM of 711, 654, 216, 494?

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 711, 654, 216, 494.

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}.