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 373, 600, 405, 276, 630

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


Find the LCM of 373, 600, 405, 276, 630 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 373, 600, 405, 276, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,600,405,276,630

Given numbers are 373,600,405,276,630

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

The LCM of 373,600,405,276,630 is 972858600.

Find LCM of 373,600,405,276,630 with Prime Factorization


2 373, 600, 405, 276, 630
2 373, 300, 405, 138, 315
3 373, 150, 405, 69, 315
3 373, 50, 135, 23, 105
5 373, 50, 45, 23, 35
373, 10, 9, 23, 7

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

2 x 2 x 3 x 3 x 5 x 373 x 10 x 9 x 23 x 7 = 972858600

Therefore, the lowest common multiple of 373,600,405,276,630 is 972858600.

LCM Formula to Find Lowest Common Multiple of 373,600,405,276,630

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.

373 x 600 x 405 x 276 x 630 = 15760309320000

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.

373 : 1, 373

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,600,405,276,630, is 1.

Now, the common factors can be found like this.

373:373

600:2x 2x 2x 3x 5x 5

405:3x 3x 3x 3x 5

276:2x 2x 3x 23

630:2x 3x 3x 5x 7

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 3x 3x 3x 5x 5 = 16200

Therefore, the value for common factors is 16200.

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 = 15760309320000/(1x16200)

LCM = 15760309320000/16200

LCM = 972858600

Thus, we can understand that the LCM of 373,600,405,276,630 is 972858600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 600, 405, 276, 630

1. What is the LCM of 373, 600, 405, 276, 630?

Answer: LCM of 373, 600, 405, 276, 630 is 972858600.

2. How to calculate the LCM of 373, 600, 405, 276, 630?

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 373, 600, 405, 276, 630.

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}.