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LCM of 542, 234, 708, 661

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


Find the LCM of 542, 234, 708, 661 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, 234, 708, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,234,708,661

Given numbers are 542,234,708,661

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

The LCM of 542,234,708,661 is 4946165172.

Find LCM of 542,234,708,661 with Prime Factorization


2 542, 234, 708, 661
3 271, 117, 354, 661
271, 39, 118, 661

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

2 x 3 x 271 x 39 x 118 x 661 = 4946165172

Therefore, the lowest common multiple of 542,234,708,661 is 4946165172.

LCM Formula to Find Lowest Common Multiple of 542,234,708,661

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 234 x 708 x 661 = 59353982064

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,234,708,661, is 1.

Now, the common factors can be found like this.

542:2x 271

234:2x 3x 3x 13

708:2x 2x 3x 59

661:661

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 = 59353982064/(1x12)

LCM = 59353982064/12

LCM = 4946165172

Thus, we can understand that the LCM of 542,234,708,661 is 4946165172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 234, 708, 661

1. What is the LCM of 542, 234, 708, 661?

Answer: LCM of 542, 234, 708, 661 is 4946165172.

2. How to calculate the LCM of 542, 234, 708, 661?

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, 234, 708, 661.

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}.