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LCM of 546, 865, 697, 697

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


Find the LCM of 546, 865, 697, 697 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 546, 865, 697, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,865,697,697

Given numbers are 546,865,697,697

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

The LCM of 546,865,697,697 is 329186130.

Find LCM of 546,865,697,697 with Prime Factorization


17 546, 865, 697, 697
41 546, 865, 41, 41
546, 865, 1, 1

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

17 x 41 x 546 x 865 x 1 x 1 = 329186130

Therefore, the lowest common multiple of 546,865,697,697 is 329186130.

LCM Formula to Find Lowest Common Multiple of 546,865,697,697

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.

546 x 865 x 697 x 697 = 229442732610

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

865 : 1, 5, 173, 865

697 : 1, 17, 41, 697

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,865,697,697, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

865:5x 173

697:17x 41

697:17x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 41 = 697

Therefore, the value for common factors is 697.

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 = 229442732610/(1x697)

LCM = 229442732610/697

LCM = 329186130

Thus, we can understand that the LCM of 546,865,697,697 is 329186130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 865, 697, 697

1. What is the LCM of 546, 865, 697, 697?

Answer: LCM of 546, 865, 697, 697 is 329186130.

2. How to calculate the LCM of 546, 865, 697, 697?

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 546, 865, 697, 697.

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}.