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 874, 956, 218, 874

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


Find the LCM of 874, 956, 218, 874 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 874, 956, 218, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,956,218,874

Given numbers are 874,956,218,874

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

The LCM of 874,956,218,874 is 45537148.

Find LCM of 874,956,218,874 with Prime Factorization


2 874, 956, 218, 874
19 437, 478, 109, 437
23 23, 478, 109, 23
1, 478, 109, 1

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

2 x 19 x 23 x 1 x 478 x 109 x 1 = 45537148

Therefore, the lowest common multiple of 874,956,218,874 is 45537148.

LCM Formula to Find Lowest Common Multiple of 874,956,218,874

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.

874 x 956 x 218 x 874 = 159197869408

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

956 : 1, 2, 4, 239, 478, 956

218 : 1, 2, 109, 218

874 : 1, 2, 19, 23, 38, 46, 437, 874

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,956,218,874, is 2.

Now, the common factors can be found like this.

874:2x 19x 23

956:2x 2x 239

218:2x 109

874:2x 19x 23

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 19x 23 = 1748

Therefore, the value for common factors is 1748.

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 = 159197869408/(2x1748)

LCM = 159197869408/3496

LCM = 45537148

Thus, we can understand that the LCM of 874,956,218,874 is 45537148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 956, 218, 874

1. What is the LCM of 874, 956, 218, 874?

Answer: LCM of 874, 956, 218, 874 is 45537148.

2. How to calculate the LCM of 874, 956, 218, 874?

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 874, 956, 218, 874.

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}.