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LCM of 862, 297, 116, 402, 746

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


Find the LCM of 862, 297, 116, 402, 746 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 862, 297, 116, 402, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,297,116,402,746

Given numbers are 862,297,116,402,746

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

The LCM of 862,297,116,402,746 is 371086660692.

Find LCM of 862,297,116,402,746 with Prime Factorization


2 862, 297, 116, 402, 746
3 431, 297, 58, 201, 373
431, 99, 58, 67, 373

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

2 x 3 x 431 x 99 x 58 x 67 x 373 = 371086660692

Therefore, the lowest common multiple of 862,297,116,402,746 is 371086660692.

LCM Formula to Find Lowest Common Multiple of 862,297,116,402,746

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.

862 x 297 x 116 x 402 x 746 = 8906079856608

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.

862 : 1, 2, 431, 862

297 : 1, 3, 9, 11, 27, 33, 99, 297

116 : 1, 2, 4, 29, 58, 116

402 : 1, 2, 3, 6, 67, 134, 201, 402

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,297,116,402,746, is 1.

Now, the common factors can be found like this.

862:2x 431

297:3x 3x 3x 11

116:2x 2x 29

402:2x 3x 67

746:2x 373

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8906079856608/(1x24)

LCM = 8906079856608/24

LCM = 371086660692

Thus, we can understand that the LCM of 862,297,116,402,746 is 371086660692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 297, 116, 402, 746

1. What is the LCM of 862, 297, 116, 402, 746?

Answer: LCM of 862, 297, 116, 402, 746 is 371086660692.

2. How to calculate the LCM of 862, 297, 116, 402, 746?

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 862, 297, 116, 402, 746.

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}.