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 980, 782, 493, 709, 964

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


Find the LCM of 980, 782, 493, 709, 964 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 980, 782, 493, 709, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 980,782,493,709,964

Given numbers are 980,782,493,709,964

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

The LCM of 980,782,493,709,964 is 1898733919180.

Find LCM of 980,782,493,709,964 with Prime Factorization


2 980, 782, 493, 709, 964
2 490, 391, 493, 709, 482
17 245, 391, 493, 709, 241
245, 23, 29, 709, 241

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

2 x 2 x 17 x 245 x 23 x 29 x 709 x 241 = 1898733919180

Therefore, the lowest common multiple of 980,782,493,709,964 is 1898733919180.

LCM Formula to Find Lowest Common Multiple of 980,782,493,709,964

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.

980 x 782 x 493 x 709 x 964 = 258227813008480

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

782 : 1, 2, 17, 23, 34, 46, 391, 782

493 : 1, 17, 29, 493

709 : 1, 709

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,782,493,709,964, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

782:2x 17x 23

493:17x 29

709:709

964:2x 2x 241

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 17 = 136

Therefore, the value for common factors is 136.

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 = 258227813008480/(1x136)

LCM = 258227813008480/136

LCM = 1898733919180

Thus, we can understand that the LCM of 980,782,493,709,964 is 1898733919180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 980, 782, 493, 709, 964

1. What is the LCM of 980, 782, 493, 709, 964?

Answer: LCM of 980, 782, 493, 709, 964 is 1898733919180.

2. How to calculate the LCM of 980, 782, 493, 709, 964?

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 980, 782, 493, 709, 964.

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}.