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LCM of 700, 199, 273, 994, 670

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


Find the LCM of 700, 199, 273, 994, 670 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 700, 199, 273, 994, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 700,199,273,994,670

Given numbers are 700,199,273,994,670

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

The LCM of 700,199,273,994,670 is 25843353900.

Find LCM of 700,199,273,994,670 with Prime Factorization


2 700, 199, 273, 994, 670
5 350, 199, 273, 497, 335
7 70, 199, 273, 497, 67
10, 199, 39, 71, 67

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

2 x 5 x 7 x 10 x 199 x 39 x 71 x 67 = 25843353900

Therefore, the lowest common multiple of 700,199,273,994,670 is 25843353900.

LCM Formula to Find Lowest Common Multiple of 700,199,273,994,670

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.

700 x 199 x 273 x 994 x 670 = 25326486822000

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.

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

199 : 1, 199

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,199,273,994,670, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

199:199

273:3x 7x 13

994:2x 7x 71

670:2x 5x 67

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 5x 7x 7 = 980

Therefore, the value for common factors is 980.

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 = 25326486822000/(1x980)

LCM = 25326486822000/980

LCM = 25843353900

Thus, we can understand that the LCM of 700,199,273,994,670 is 25843353900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 700, 199, 273, 994, 670

1. What is the LCM of 700, 199, 273, 994, 670?

Answer: LCM of 700, 199, 273, 994, 670 is 25843353900.

2. How to calculate the LCM of 700, 199, 273, 994, 670?

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 700, 199, 273, 994, 670.

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}.