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LCM of 714, 973, 542, 143

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


Find the LCM of 714, 973, 542, 143 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 714, 973, 542, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 714,973,542,143

Given numbers are 714,973,542,143

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

The LCM of 714,973,542,143 is 3846080238.

Find LCM of 714,973,542,143 with Prime Factorization


2 714, 973, 542, 143
7 357, 973, 271, 143
51, 139, 271, 143

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

2 x 7 x 51 x 139 x 271 x 143 = 3846080238

Therefore, the lowest common multiple of 714,973,542,143 is 3846080238.

LCM Formula to Find Lowest Common Multiple of 714,973,542,143

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.

714 x 973 x 542 x 143 = 53845123332

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.

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

973 : 1, 7, 139, 973

542 : 1, 2, 271, 542

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,973,542,143, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

973:7x 139

542:2x 271

143:11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 53845123332/(1x14)

LCM = 53845123332/14

LCM = 3846080238

Thus, we can understand that the LCM of 714,973,542,143 is 3846080238.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 714, 973, 542, 143

1. What is the LCM of 714, 973, 542, 143?

Answer: LCM of 714, 973, 542, 143 is 3846080238.

2. How to calculate the LCM of 714, 973, 542, 143?

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 714, 973, 542, 143.

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}.