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LCM of 770, 561, 543, 109, 949

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


Find the LCM of 770, 561, 543, 109, 949 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 770, 561, 543, 109, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,561,543,109,949

Given numbers are 770,561,543,109,949

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

The LCM of 770,561,543,109,949 is 735245180670.

Find LCM of 770,561,543,109,949 with Prime Factorization


3 770, 561, 543, 109, 949
11 770, 187, 181, 109, 949
70, 17, 181, 109, 949

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

3 x 11 x 70 x 17 x 181 x 109 x 949 = 735245180670

Therefore, the lowest common multiple of 770,561,543,109,949 is 735245180670.

LCM Formula to Find Lowest Common Multiple of 770,561,543,109,949

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.

770 x 561 x 543 x 109 x 949 = 24263090962110

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

561 : 1, 3, 11, 17, 33, 51, 187, 561

543 : 1, 3, 181, 543

109 : 1, 109

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,561,543,109,949, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

561:3x 11x 17

543:3x 181

109:109

949:13x 73

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 24263090962110/(1x33)

LCM = 24263090962110/33

LCM = 735245180670

Thus, we can understand that the LCM of 770,561,543,109,949 is 735245180670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 561, 543, 109, 949

1. What is the LCM of 770, 561, 543, 109, 949?

Answer: LCM of 770, 561, 543, 109, 949 is 735245180670.

2. How to calculate the LCM of 770, 561, 543, 109, 949?

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 770, 561, 543, 109, 949.

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}.