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LCM of 132, 697, 714, 378, 542

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


Find the LCM of 132, 697, 714, 378, 542 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 132, 697, 714, 378, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 132,697,714,378,542

Given numbers are 132,697,714,378,542

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

The LCM of 132,697,714,378,542 is 1570784292.

Find LCM of 132,697,714,378,542 with Prime Factorization


2 132, 697, 714, 378, 542
3 66, 697, 357, 189, 271
7 22, 697, 119, 63, 271
17 22, 697, 17, 9, 271
22, 41, 1, 9, 271

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

2 x 3 x 7 x 17 x 22 x 41 x 1 x 9 x 271 = 1570784292

Therefore, the lowest common multiple of 132,697,714,378,542 is 1570784292.

LCM Formula to Find Lowest Common Multiple of 132,697,714,378,542

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.

132 x 697 x 714 x 378 x 542 = 13458479813856

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

697 : 1, 17, 41, 697

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,697,714,378,542, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

697:17x 41

714:2x 3x 7x 17

378:2x 3x 3x 3x 7

542:2x 271

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 3x 3x 7x 17 = 8568

Therefore, the value for common factors is 8568.

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 = 13458479813856/(1x8568)

LCM = 13458479813856/8568

LCM = 1570784292

Thus, we can understand that the LCM of 132,697,714,378,542 is 1570784292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 132, 697, 714, 378, 542

1. What is the LCM of 132, 697, 714, 378, 542?

Answer: LCM of 132, 697, 714, 378, 542 is 1570784292.

2. How to calculate the LCM of 132, 697, 714, 378, 542?

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 132, 697, 714, 378, 542.

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}.