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LCM of 644, 767, 962, 749, 994

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


Find the LCM of 644, 767, 962, 749, 994 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 644, 767, 962, 749, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,767,962,749,994

Given numbers are 644,767,962,749,994

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

The LCM of 644,767,962,749,994 is 138843349372.

Find LCM of 644,767,962,749,994 with Prime Factorization


2 644, 767, 962, 749, 994
7 322, 767, 481, 749, 497
13 46, 767, 481, 107, 71
46, 59, 37, 107, 71

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

2 x 7 x 13 x 46 x 59 x 37 x 107 x 71 = 138843349372

Therefore, the lowest common multiple of 644,767,962,749,994 is 138843349372.

LCM Formula to Find Lowest Common Multiple of 644,767,962,749,994

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.

644 x 767 x 962 x 749 x 994 = 353772854199856

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

767 : 1, 13, 59, 767

962 : 1, 2, 13, 26, 37, 74, 481, 962

749 : 1, 7, 107, 749

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,767,962,749,994, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

767:13x 59

962:2x 13x 37

749:7x 107

994:2x 7x 71

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 7x 7x 13 = 2548

Therefore, the value for common factors is 2548.

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 = 353772854199856/(1x2548)

LCM = 353772854199856/2548

LCM = 138843349372

Thus, we can understand that the LCM of 644,767,962,749,994 is 138843349372.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 767, 962, 749, 994

1. What is the LCM of 644, 767, 962, 749, 994?

Answer: LCM of 644, 767, 962, 749, 994 is 138843349372.

2. How to calculate the LCM of 644, 767, 962, 749, 994?

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 644, 767, 962, 749, 994.

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}.