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LCM of 542, 528, 650, 894

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


Find the LCM of 542, 528, 650, 894 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 542, 528, 650, 894. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,528,650,894

Given numbers are 542,528,650,894

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

The LCM of 542,528,650,894 is 6929036400.

Find LCM of 542,528,650,894 with Prime Factorization


2 542, 528, 650, 894
3 271, 264, 325, 447
271, 88, 325, 149

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

2 x 3 x 271 x 88 x 325 x 149 = 6929036400

Therefore, the lowest common multiple of 542,528,650,894 is 6929036400.

LCM Formula to Find Lowest Common Multiple of 542,528,650,894

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.

542 x 528 x 650 x 894 = 166296873600

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.

542 : 1, 2, 271, 542

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,528,650,894, is 2.

Now, the common factors can be found like this.

542:2x 271

528:2x 2x 2x 2x 3x 11

650:2x 5x 5x 13

894:2x 3x 149

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 3 = 12

Therefore, the value for common factors is 12.

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 = 166296873600/(2x12)

LCM = 166296873600/24

LCM = 6929036400

Thus, we can understand that the LCM of 542,528,650,894 is 6929036400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 528, 650, 894

1. What is the LCM of 542, 528, 650, 894?

Answer: LCM of 542, 528, 650, 894 is 6929036400.

2. How to calculate the LCM of 542, 528, 650, 894?

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 542, 528, 650, 894.

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}.