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LCM of 987, 350, 567, 860

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


Find the LCM of 987, 350, 567, 860 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 987, 350, 567, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,350,567,860

Given numbers are 987,350,567,860

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

The LCM of 987,350,567,860 is 114590700.

Find LCM of 987,350,567,860 with Prime Factorization


2 987, 350, 567, 860
3 987, 175, 567, 430
5 329, 175, 189, 430
7 329, 35, 189, 86
47, 5, 27, 86

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

2 x 3 x 5 x 7 x 47 x 5 x 27 x 86 = 114590700

Therefore, the lowest common multiple of 987,350,567,860 is 114590700.

LCM Formula to Find Lowest Common Multiple of 987,350,567,860

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.

987 x 350 x 567 x 860 = 168448329000

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,350,567,860, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

350:2x 5x 5x 7

567:3x 3x 3x 3x 7

860:2x 2x 5x 43

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

2x 3x 5x 7x 7 = 1470

Therefore, the value for common factors is 1470.

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 = 168448329000/(1x1470)

LCM = 168448329000/1470

LCM = 114590700

Thus, we can understand that the LCM of 987,350,567,860 is 114590700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 350, 567, 860

1. What is the LCM of 987, 350, 567, 860?

Answer: LCM of 987, 350, 567, 860 is 114590700.

2. How to calculate the LCM of 987, 350, 567, 860?

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 987, 350, 567, 860.

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}.