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LCM of 121, 972, 664, 261, 785

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


Find the LCM of 121, 972, 664, 261, 785 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 121, 972, 664, 261, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,972,664,261,785

Given numbers are 121,972,664,261,785

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

The LCM of 121,972,664,261,785 is 444454571880.

Find LCM of 121,972,664,261,785 with Prime Factorization


2 121, 972, 664, 261, 785
2 121, 486, 332, 261, 785
3 121, 243, 166, 261, 785
3 121, 81, 166, 87, 785
121, 27, 166, 29, 785

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

2 x 2 x 3 x 3 x 121 x 27 x 166 x 29 x 785 = 444454571880

Therefore, the lowest common multiple of 121,972,664,261,785 is 444454571880.

LCM Formula to Find Lowest Common Multiple of 121,972,664,261,785

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.

121 x 972 x 664 x 261 x 785 = 16000364587680

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.

121 : 1, 11, 121

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

664 : 1, 2, 4, 8, 83, 166, 332, 664

261 : 1, 3, 9, 29, 87, 261

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,972,664,261,785, is 1.

Now, the common factors can be found like this.

121:11x 11

972:2x 2x 3x 3x 3x 3x 3

664:2x 2x 2x 83

261:3x 3x 29

785:5x 157

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 16000364587680/(1x36)

LCM = 16000364587680/36

LCM = 444454571880

Thus, we can understand that the LCM of 121,972,664,261,785 is 444454571880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 972, 664, 261, 785

1. What is the LCM of 121, 972, 664, 261, 785?

Answer: LCM of 121, 972, 664, 261, 785 is 444454571880.

2. How to calculate the LCM of 121, 972, 664, 261, 785?

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 121, 972, 664, 261, 785.

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}.