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LCM of 874, 316, 227, 199, 749

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


Find the LCM of 874, 316, 227, 199, 749 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, 316, 227, 199, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,316,227,199,749

Given numbers are 874,316,227,199,749

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

The LCM of 874,316,227,199,749 is 4672284407084.

Find LCM of 874,316,227,199,749 with Prime Factorization


2 874, 316, 227, 199, 749
437, 158, 227, 199, 749

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

2 x 437 x 158 x 227 x 199 x 749 = 4672284407084

Therefore, the lowest common multiple of 874,316,227,199,749 is 4672284407084.

LCM Formula to Find Lowest Common Multiple of 874,316,227,199,749

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 316 x 227 x 199 x 749 = 9344568814168

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

316 : 1, 2, 4, 79, 158, 316

227 : 1, 227

199 : 1, 199

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,316,227,199,749, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

316:2x 2x 79

227:227

199:199

749:7x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 9344568814168/(1x2)

LCM = 9344568814168/2

LCM = 4672284407084

Thus, we can understand that the LCM of 874,316,227,199,749 is 4672284407084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 316, 227, 199, 749

1. What is the LCM of 874, 316, 227, 199, 749?

Answer: LCM of 874, 316, 227, 199, 749 is 4672284407084.

2. How to calculate the LCM of 874, 316, 227, 199, 749?

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, 316, 227, 199, 749.

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}.