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LCM of 106, 744, 868, 771

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


Find the LCM of 106, 744, 868, 771 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 106, 744, 868, 771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,744,868,771

Given numbers are 106,744,868,771

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

The LCM of 106,744,868,771 is 70938168.

Find LCM of 106,744,868,771 with Prime Factorization


2 106, 744, 868, 771
2 53, 372, 434, 771
3 53, 186, 217, 771
31 53, 62, 217, 257
53, 2, 7, 257

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

2 x 2 x 3 x 31 x 53 x 2 x 7 x 257 = 70938168

Therefore, the lowest common multiple of 106,744,868,771 is 70938168.

LCM Formula to Find Lowest Common Multiple of 106,744,868,771

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.

106 x 744 x 868 x 771 = 52777996992

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.

106 : 1, 2, 53, 106

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,744,868,771, is 1.

Now, the common factors can be found like this.

106:2x 53

744:2x 2x 2x 3x 31

868:2x 2x 7x 31

771:3x 257

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 31 = 744

Therefore, the value for common factors is 744.

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 = 52777996992/(1x744)

LCM = 52777996992/744

LCM = 70938168

Thus, we can understand that the LCM of 106,744,868,771 is 70938168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 744, 868, 771

1. What is the LCM of 106, 744, 868, 771?

Answer: LCM of 106, 744, 868, 771 is 70938168.

2. How to calculate the LCM of 106, 744, 868, 771?

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 106, 744, 868, 771.

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}.