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LCM of 834, 752, 549, 623

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


Find the LCM of 834, 752, 549, 623 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 834, 752, 549, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,752,549,623

Given numbers are 834,752,549,623

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

The LCM of 834,752,549,623 is 35751398256.

Find LCM of 834,752,549,623 with Prime Factorization


2 834, 752, 549, 623
3 417, 376, 549, 623
139, 376, 183, 623

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

2 x 3 x 139 x 376 x 183 x 623 = 35751398256

Therefore, the lowest common multiple of 834,752,549,623 is 35751398256.

LCM Formula to Find Lowest Common Multiple of 834,752,549,623

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.

834 x 752 x 549 x 623 = 214508389536

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

549 : 1, 3, 9, 61, 183, 549

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,752,549,623, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

752:2x 2x 2x 2x 47

549:3x 3x 61

623:7x 89

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 214508389536/(1x6)

LCM = 214508389536/6

LCM = 35751398256

Thus, we can understand that the LCM of 834,752,549,623 is 35751398256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 752, 549, 623

1. What is the LCM of 834, 752, 549, 623?

Answer: LCM of 834, 752, 549, 623 is 35751398256.

2. How to calculate the LCM of 834, 752, 549, 623?

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 834, 752, 549, 623.

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}.