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LCM of 700, 170, 429, 150, 939

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


Find the LCM of 700, 170, 429, 150, 939 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, 170, 429, 150, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 700,170,429,150,939

Given numbers are 700,170,429,150,939

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

The LCM of 700,170,429,150,939 is 1597896300.

Find LCM of 700,170,429,150,939 with Prime Factorization


2 700, 170, 429, 150, 939
3 350, 85, 429, 75, 939
5 350, 85, 143, 25, 313
5 70, 17, 143, 5, 313
14, 17, 143, 1, 313

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

2 x 3 x 5 x 5 x 14 x 17 x 143 x 1 x 313 = 1597896300

Therefore, the lowest common multiple of 700,170,429,150,939 is 1597896300.

LCM Formula to Find Lowest Common Multiple of 700,170,429,150,939

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 170 x 429 x 150 x 939 = 7190533350000

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

429 : 1, 3, 11, 13, 33, 39, 143, 429

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,170,429,150,939, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

170:2x 5x 17

429:3x 11x 13

150:2x 3x 5x 5

939:3x 313

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 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 7190533350000/(1x4500)

LCM = 7190533350000/4500

LCM = 1597896300

Thus, we can understand that the LCM of 700,170,429,150,939 is 1597896300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 700, 170, 429, 150, 939

1. What is the LCM of 700, 170, 429, 150, 939?

Answer: LCM of 700, 170, 429, 150, 939 is 1597896300.

2. How to calculate the LCM of 700, 170, 429, 150, 939?

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, 170, 429, 150, 939.

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}.