LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 109, 152, 456, 561

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


Find the LCM of 109, 152, 456, 561 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 109, 152, 456, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,152,456,561

Given numbers are 109,152,456,561

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

The LCM of 109,152,456,561 is 9294648.

Find LCM of 109,152,456,561 with Prime Factorization


2 109, 152, 456, 561
2 109, 76, 228, 561
2 109, 38, 114, 561
3 109, 19, 57, 561
19 109, 19, 19, 187
109, 1, 1, 187

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

2 x 2 x 2 x 3 x 19 x 109 x 1 x 1 x 187 = 9294648

Therefore, the lowest common multiple of 109,152,456,561 is 9294648.

LCM Formula to Find Lowest Common Multiple of 109,152,456,561

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.

109 x 152 x 456 x 561 = 4238359488

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.

109 : 1, 109

152 : 1, 2, 4, 8, 19, 38, 76, 152

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,152,456,561, is 1.

Now, the common factors can be found like this.

109:109

152:2x 2x 2x 19

456:2x 2x 2x 3x 19

561:3x 11x 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 19 = 456

Therefore, the value for common factors is 456.

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 = 4238359488/(1x456)

LCM = 4238359488/456

LCM = 9294648

Thus, we can understand that the LCM of 109,152,456,561 is 9294648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 152, 456, 561

1. What is the LCM of 109, 152, 456, 561?

Answer: LCM of 109, 152, 456, 561 is 9294648.

2. How to calculate the LCM of 109, 152, 456, 561?

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 109, 152, 456, 561.

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}.