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LCM of 629, 851, 703, 106

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


Find the LCM of 629, 851, 703, 106 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 629, 851, 703, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,851,703,106

Given numbers are 629,851,703,106

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

The LCM of 629,851,703,106 is 29136538.

Find LCM of 629,851,703,106 with Prime Factorization


37 629, 851, 703, 106
17, 23, 19, 106

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

37 x 17 x 23 x 19 x 106 = 29136538

Therefore, the lowest common multiple of 629,851,703,106 is 29136538.

LCM Formula to Find Lowest Common Multiple of 629,851,703,106

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.

629 x 851 x 703 x 106 = 39887920522

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.

629 : 1, 17, 37, 629

851 : 1, 23, 37, 851

703 : 1, 19, 37, 703

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,851,703,106, is 1.

Now, the common factors can be found like this.

629:17x 37

851:23x 37

703:19x 37

106:2x 53

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

37x 37 = 1369

Therefore, the value for common factors is 1369.

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 = 39887920522/(1x1369)

LCM = 39887920522/1369

LCM = 29136538

Thus, we can understand that the LCM of 629,851,703,106 is 29136538.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 851, 703, 106

1. What is the LCM of 629, 851, 703, 106?

Answer: LCM of 629, 851, 703, 106 is 29136538.

2. How to calculate the LCM of 629, 851, 703, 106?

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 629, 851, 703, 106.

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}.