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LCM of 274, 730, 286, 858

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


Find the LCM of 274, 730, 286, 858 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 274, 730, 286, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,730,286,858

Given numbers are 274,730,286,858

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

The LCM of 274,730,286,858 is 42904290.

Find LCM of 274,730,286,858 with Prime Factorization


2 274, 730, 286, 858
11 137, 365, 143, 429
13 137, 365, 13, 39
137, 365, 1, 3

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

2 x 11 x 13 x 137 x 365 x 1 x 3 = 42904290

Therefore, the lowest common multiple of 274,730,286,858 is 42904290.

LCM Formula to Find Lowest Common Multiple of 274,730,286,858

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.

274 x 730 x 286 x 858 = 49082507760

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.

274 : 1, 2, 137, 274

730 : 1, 2, 5, 10, 73, 146, 365, 730

286 : 1, 2, 11, 13, 22, 26, 143, 286

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,730,286,858, is 2.

Now, the common factors can be found like this.

274:2x 137

730:2x 5x 73

286:2x 11x 13

858:2x 3x 11x 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 11x 13 = 572

Therefore, the value for common factors is 572.

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 = 49082507760/(2x572)

LCM = 49082507760/1144

LCM = 42904290

Thus, we can understand that the LCM of 274,730,286,858 is 42904290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 730, 286, 858

1. What is the LCM of 274, 730, 286, 858?

Answer: LCM of 274, 730, 286, 858 is 42904290.

2. How to calculate the LCM of 274, 730, 286, 858?

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 274, 730, 286, 858.

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}.