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 973, 699, 374, 306, 780

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


Find the LCM of 973, 699, 374, 306, 780 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 973, 699, 374, 306, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 973,699,374,306,780

Given numbers are 973,699,374,306,780

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

The LCM of 973,699,374,306,780 is 99203324220.

Find LCM of 973,699,374,306,780 with Prime Factorization


2 973, 699, 374, 306, 780
3 973, 699, 187, 153, 390
17 973, 233, 187, 51, 130
973, 233, 11, 3, 130

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

2 x 3 x 17 x 973 x 233 x 11 x 3 x 130 = 99203324220

Therefore, the lowest common multiple of 973,699,374,306,780 is 99203324220.

LCM Formula to Find Lowest Common Multiple of 973,699,374,306,780

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.

973 x 699 x 374 x 306 x 780 = 60712434422640

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.

973 : 1, 7, 139, 973

699 : 1, 3, 233, 699

374 : 1, 2, 11, 17, 22, 34, 187, 374

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,699,374,306,780, is 1.

Now, the common factors can be found like this.

973:7x 139

699:3x 233

374:2x 11x 17

306:2x 3x 3x 17

780:2x 2x 3x 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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 60712434422640/(1x612)

LCM = 60712434422640/612

LCM = 99203324220

Thus, we can understand that the LCM of 973,699,374,306,780 is 99203324220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 973, 699, 374, 306, 780

1. What is the LCM of 973, 699, 374, 306, 780?

Answer: LCM of 973, 699, 374, 306, 780 is 99203324220.

2. How to calculate the LCM of 973, 699, 374, 306, 780?

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 973, 699, 374, 306, 780.

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}.