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LCM of 345, 943, 516, 107

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


Find the LCM of 345, 943, 516, 107 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 345, 943, 516, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,943,516,107

Given numbers are 345,943,516,107

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

The LCM of 345,943,516,107 is 260324580.

Find LCM of 345,943,516,107 with Prime Factorization


3 345, 943, 516, 107
23 115, 943, 172, 107
5, 41, 172, 107

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

3 x 23 x 5 x 41 x 172 x 107 = 260324580

Therefore, the lowest common multiple of 345,943,516,107 is 260324580.

LCM Formula to Find Lowest Common Multiple of 345,943,516,107

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.

345 x 943 x 516 x 107 = 17962396020

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

943 : 1, 23, 41, 943

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,943,516,107, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

943:23x 41

516:2x 2x 3x 43

107:107

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

3x 23 = 69

Therefore, the value for common factors is 69.

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 = 17962396020/(1x69)

LCM = 17962396020/69

LCM = 260324580

Thus, we can understand that the LCM of 345,943,516,107 is 260324580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 943, 516, 107

1. What is the LCM of 345, 943, 516, 107?

Answer: LCM of 345, 943, 516, 107 is 260324580.

2. How to calculate the LCM of 345, 943, 516, 107?

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 345, 943, 516, 107.

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}.