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LCM of 697, 186, 785, 108, 612

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


Find the LCM of 697, 186, 785, 108, 612 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 697, 186, 785, 108, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,186,785,108,612

Given numbers are 697,186,785,108,612

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

The LCM of 697,186,785,108,612 is 1831841460.

Find LCM of 697,186,785,108,612 with Prime Factorization


2 697, 186, 785, 108, 612
2 697, 93, 785, 54, 306
3 697, 93, 785, 27, 153
3 697, 31, 785, 9, 51
17 697, 31, 785, 3, 17
41, 31, 785, 3, 1

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

2 x 2 x 3 x 3 x 17 x 41 x 31 x 785 x 3 x 1 = 1831841460

Therefore, the lowest common multiple of 697,186,785,108,612 is 1831841460.

LCM Formula to Find Lowest Common Multiple of 697,186,785,108,612

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.

697 x 186 x 785 x 108 x 612 = 6726521841120

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.

697 : 1, 17, 41, 697

186 : 1, 2, 3, 6, 31, 62, 93, 186

785 : 1, 5, 157, 785

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,186,785,108,612, is 1.

Now, the common factors can be found like this.

697:17x 41

186:2x 3x 31

785:5x 157

108:2x 2x 3x 3x 3

612:2x 2x 3x 3x 17

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 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 6726521841120/(1x3672)

LCM = 6726521841120/3672

LCM = 1831841460

Thus, we can understand that the LCM of 697,186,785,108,612 is 1831841460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 186, 785, 108, 612

1. What is the LCM of 697, 186, 785, 108, 612?

Answer: LCM of 697, 186, 785, 108, 612 is 1831841460.

2. How to calculate the LCM of 697, 186, 785, 108, 612?

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 697, 186, 785, 108, 612.

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}.