LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 860, 173, 210, 972, 520

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


Find the LCM of 860, 173, 210, 972, 520 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 860, 173, 210, 972, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,173,210,972,520

Given numbers are 860,173,210,972,520

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

The LCM of 860,173,210,972,520 is 6579944280.

Find LCM of 860,173,210,972,520 with Prime Factorization


2 860, 173, 210, 972, 520
2 430, 173, 105, 486, 260
3 215, 173, 105, 243, 130
5 215, 173, 35, 81, 130
43, 173, 7, 81, 26

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

2 x 2 x 3 x 5 x 43 x 173 x 7 x 81 x 26 = 6579944280

Therefore, the lowest common multiple of 860,173,210,972,520 is 6579944280.

LCM Formula to Find Lowest Common Multiple of 860,173,210,972,520

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.

860 x 173 x 210 x 972 x 520 = 15791866272000

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.

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

173 : 1, 173

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,173,210,972,520, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

173:173

210:2x 3x 5x 7

972:2x 2x 3x 3x 3x 3x 3

520:2x 2x 2x 5x 13

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 2x 2x 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 15791866272000/(1x2400)

LCM = 15791866272000/2400

LCM = 6579944280

Thus, we can understand that the LCM of 860,173,210,972,520 is 6579944280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 173, 210, 972, 520

1. What is the LCM of 860, 173, 210, 972, 520?

Answer: LCM of 860, 173, 210, 972, 520 is 6579944280.

2. How to calculate the LCM of 860, 173, 210, 972, 520?

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 860, 173, 210, 972, 520.

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}.