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LCM of 262, 286, 146, 898, 679

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


Find the LCM of 262, 286, 146, 898, 679 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 262, 286, 146, 898, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,286,146,898,679

Given numbers are 262,286,146,898,679

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

The LCM of 262,286,146,898,679 is 833827672678.

Find LCM of 262,286,146,898,679 with Prime Factorization


2 262, 286, 146, 898, 679
131, 143, 73, 449, 679

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

2 x 131 x 143 x 73 x 449 x 679 = 833827672678

Therefore, the lowest common multiple of 262,286,146,898,679 is 833827672678.

LCM Formula to Find Lowest Common Multiple of 262,286,146,898,679

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.

262 x 286 x 146 x 898 x 679 = 6670621381424

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.

262 : 1, 2, 131, 262

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

146 : 1, 2, 73, 146

898 : 1, 2, 449, 898

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,286,146,898,679, is 1.

Now, the common factors can be found like this.

262:2x 131

286:2x 11x 13

146:2x 73

898:2x 449

679:7x 97

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6670621381424/(1x8)

LCM = 6670621381424/8

LCM = 833827672678

Thus, we can understand that the LCM of 262,286,146,898,679 is 833827672678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 286, 146, 898, 679

1. What is the LCM of 262, 286, 146, 898, 679?

Answer: LCM of 262, 286, 146, 898, 679 is 833827672678.

2. How to calculate the LCM of 262, 286, 146, 898, 679?

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 262, 286, 146, 898, 679.

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}.