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LCM of 853, 723, 554, 700

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


Find the LCM of 853, 723, 554, 700 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 853, 723, 554, 700. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,723,554,700

Given numbers are 853,723,554,700

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

The LCM of 853,723,554,700 is 119581814100.

Find LCM of 853,723,554,700 with Prime Factorization


2 853, 723, 554, 700
853, 723, 277, 350

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

2 x 853 x 723 x 277 x 350 = 119581814100

Therefore, the lowest common multiple of 853,723,554,700 is 119581814100.

LCM Formula to Find Lowest Common Multiple of 853,723,554,700

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.

853 x 723 x 554 x 700 = 239163628200

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.

853 : 1, 853

723 : 1, 3, 241, 723

554 : 1, 2, 277, 554

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,723,554,700, is 1.

Now, the common factors can be found like this.

853:853

723:3x 241

554:2x 277

700:2x 2x 5x 5x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 239163628200/(1x2)

LCM = 239163628200/2

LCM = 119581814100

Thus, we can understand that the LCM of 853,723,554,700 is 119581814100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 723, 554, 700

1. What is the LCM of 853, 723, 554, 700?

Answer: LCM of 853, 723, 554, 700 is 119581814100.

2. How to calculate the LCM of 853, 723, 554, 700?

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 853, 723, 554, 700.

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}.