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LCM of 460, 391, 276, 346, 695

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


Find the LCM of 460, 391, 276, 346, 695 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 460, 391, 276, 346, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,391,276,346,695

Given numbers are 460,391,276,346,695

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

The LCM of 460,391,276,346,695 is 564142620.

Find LCM of 460,391,276,346,695 with Prime Factorization


2 460, 391, 276, 346, 695
2 230, 391, 138, 173, 695
5 115, 391, 69, 173, 695
23 23, 391, 69, 173, 139
1, 17, 3, 173, 139

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

2 x 2 x 5 x 23 x 1 x 17 x 3 x 173 x 139 = 564142620

Therefore, the lowest common multiple of 460,391,276,346,695 is 564142620.

LCM Formula to Find Lowest Common Multiple of 460,391,276,346,695

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.

460 x 391 x 276 x 346 x 695 = 11937257839200

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

391 : 1, 17, 23, 391

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

346 : 1, 2, 173, 346

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,391,276,346,695, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

391:17x 23

276:2x 2x 3x 23

346:2x 173

695:5x 139

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 2x 5x 23x 23 = 21160

Therefore, the value for common factors is 21160.

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 = 11937257839200/(1x21160)

LCM = 11937257839200/21160

LCM = 564142620

Thus, we can understand that the LCM of 460,391,276,346,695 is 564142620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 391, 276, 346, 695

1. What is the LCM of 460, 391, 276, 346, 695?

Answer: LCM of 460, 391, 276, 346, 695 is 564142620.

2. How to calculate the LCM of 460, 391, 276, 346, 695?

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 460, 391, 276, 346, 695.

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}.