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LCM of 972, 556, 132, 767, 121

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


Find the LCM of 972, 556, 132, 767, 121 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 972, 556, 132, 767, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,556,132,767,121

Given numbers are 972,556,132,767,121

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

The LCM of 972,556,132,767,121 is 12538968156.

Find LCM of 972,556,132,767,121 with Prime Factorization


2 972, 556, 132, 767, 121
2 486, 278, 66, 767, 121
3 243, 139, 33, 767, 121
11 81, 139, 11, 767, 121
81, 139, 1, 767, 11

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

2 x 2 x 3 x 11 x 81 x 139 x 1 x 767 x 11 = 12538968156

Therefore, the lowest common multiple of 972,556,132,767,121 is 12538968156.

LCM Formula to Find Lowest Common Multiple of 972,556,132,767,121

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.

972 x 556 x 132 x 767 x 121 = 6620575186368

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.

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

556 : 1, 2, 4, 139, 278, 556

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

767 : 1, 13, 59, 767

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,556,132,767,121, is 1.

Now, the common factors can be found like this.

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

556:2x 2x 139

132:2x 2x 3x 11

767:13x 59

121:11x 11

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 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 6620575186368/(1x528)

LCM = 6620575186368/528

LCM = 12538968156

Thus, we can understand that the LCM of 972,556,132,767,121 is 12538968156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 556, 132, 767, 121

1. What is the LCM of 972, 556, 132, 767, 121?

Answer: LCM of 972, 556, 132, 767, 121 is 12538968156.

2. How to calculate the LCM of 972, 556, 132, 767, 121?

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 972, 556, 132, 767, 121.

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}.