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LCM of 542, 238, 681, 782

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


Find the LCM of 542, 238, 681, 782 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, 238, 681, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,238,681,782

Given numbers are 542,238,681,782

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

The LCM of 542,238,681,782 is 1010232174.

Find LCM of 542,238,681,782 with Prime Factorization


2 542, 238, 681, 782
17 271, 119, 681, 391
271, 7, 681, 23

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

2 x 17 x 271 x 7 x 681 x 23 = 1010232174

Therefore, the lowest common multiple of 542,238,681,782 is 1010232174.

LCM Formula to Find Lowest Common Multiple of 542,238,681,782

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 238 x 681 x 782 = 68695787832

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

681 : 1, 3, 227, 681

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,238,681,782, is 1.

Now, the common factors can be found like this.

542:2x 271

238:2x 7x 17

681:3x 227

782:2x 17x 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 17 = 68

Therefore, the value for common factors is 68.

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 = 68695787832/(1x68)

LCM = 68695787832/68

LCM = 1010232174

Thus, we can understand that the LCM of 542,238,681,782 is 1010232174.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 238, 681, 782

1. What is the LCM of 542, 238, 681, 782?

Answer: LCM of 542, 238, 681, 782 is 1010232174.

2. How to calculate the LCM of 542, 238, 681, 782?

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, 238, 681, 782.

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}.