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LCM of 542, 644, 972, 460

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


Find the LCM of 542, 644, 972, 460 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, 644, 972, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,644,972,460

Given numbers are 542,644,972,460

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

The LCM of 542,644,972,460 is 212046660.

Find LCM of 542,644,972,460 with Prime Factorization


2 542, 644, 972, 460
2 271, 322, 486, 230
23 271, 161, 243, 115
271, 7, 243, 5

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

2 x 2 x 23 x 271 x 7 x 243 x 5 = 212046660

Therefore, the lowest common multiple of 542,644,972,460 is 212046660.

LCM Formula to Find Lowest Common Multiple of 542,644,972,460

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 644 x 972 x 460 = 156066341760

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,644,972,460, is 2.

Now, the common factors can be found like this.

542:2x 271

644:2x 2x 7x 23

972:2x 2x 3x 3x 3x 3x 3

460:2x 2x 5x 23

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 2x 2x 23 = 368

Therefore, the value for common factors is 368.

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 = 156066341760/(2x368)

LCM = 156066341760/736

LCM = 212046660

Thus, we can understand that the LCM of 542,644,972,460 is 212046660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 644, 972, 460

1. What is the LCM of 542, 644, 972, 460?

Answer: LCM of 542, 644, 972, 460 is 212046660.

2. How to calculate the LCM of 542, 644, 972, 460?

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, 644, 972, 460.

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}.