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LCM of 444, 527, 894, 682

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


Find the LCM of 444, 527, 894, 682 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 444, 527, 894, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 444,527,894,682

Given numbers are 444,527,894,682

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

The LCM of 444,527,894,682 is 383506332.

Find LCM of 444,527,894,682 with Prime Factorization


2 444, 527, 894, 682
3 222, 527, 447, 341
31 74, 527, 149, 341
74, 17, 149, 11

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

2 x 3 x 31 x 74 x 17 x 149 x 11 = 383506332

Therefore, the lowest common multiple of 444,527,894,682 is 383506332.

LCM Formula to Find Lowest Common Multiple of 444,527,894,682

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.

444 x 527 x 894 x 682 = 142664355504

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

527 : 1, 17, 31, 527

894 : 1, 2, 3, 6, 149, 298, 447, 894

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,527,894,682, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

527:17x 31

894:2x 3x 149

682:2x 11x 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 2x 3x 31 = 372

Therefore, the value for common factors is 372.

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 = 142664355504/(1x372)

LCM = 142664355504/372

LCM = 383506332

Thus, we can understand that the LCM of 444,527,894,682 is 383506332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 444, 527, 894, 682

1. What is the LCM of 444, 527, 894, 682?

Answer: LCM of 444, 527, 894, 682 is 383506332.

2. How to calculate the LCM of 444, 527, 894, 682?

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 444, 527, 894, 682.

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}.