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 374, 858, 611, 969

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


Find the LCM of 374, 858, 611, 969 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 374, 858, 611, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,858,611,969

Given numbers are 374,858,611,969

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

The LCM of 374,858,611,969 is 13025298.

Find LCM of 374,858,611,969 with Prime Factorization


2 374, 858, 611, 969
3 187, 429, 611, 969
11 187, 143, 611, 323
13 17, 13, 611, 323
17 17, 1, 47, 323
1, 1, 47, 19

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

2 x 3 x 11 x 13 x 17 x 1 x 1 x 47 x 19 = 13025298

Therefore, the lowest common multiple of 374,858,611,969 is 13025298.

LCM Formula to Find Lowest Common Multiple of 374,858,611,969

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.

374 x 858 x 611 x 969 = 189986996628

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.

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

611 : 1, 13, 47, 611

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,858,611,969, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

858:2x 3x 11x 13

611:13x 47

969:3x 17x 19

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 11x 13x 17 = 14586

Therefore, the value for common factors is 14586.

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 = 189986996628/(1x14586)

LCM = 189986996628/14586

LCM = 13025298

Thus, we can understand that the LCM of 374,858,611,969 is 13025298.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 858, 611, 969

1. What is the LCM of 374, 858, 611, 969?

Answer: LCM of 374, 858, 611, 969 is 13025298.

2. How to calculate the LCM of 374, 858, 611, 969?

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 374, 858, 611, 969.

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}.