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LCM of 900, 720, 624, 492, 237

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


Find the LCM of 900, 720, 624, 492, 237 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 900, 720, 624, 492, 237. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,720,624,492,237

Given numbers are 900,720,624,492,237

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

The LCM of 900,720,624,492,237 is 151585200.

Find LCM of 900,720,624,492,237 with Prime Factorization


2 900, 720, 624, 492, 237
2 450, 360, 312, 246, 237
2 225, 180, 156, 123, 237
2 225, 90, 78, 123, 237
3 225, 45, 39, 123, 237
3 75, 15, 13, 41, 79
5 25, 5, 13, 41, 79
1, 5, 13, 41, 79

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 5 x 13 x 41 x 79 = 151585200

Therefore, the lowest common multiple of 900,720,624,492,237 is 151585200.

LCM Formula to Find Lowest Common Multiple of 900,720,624,492,237

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.

900 x 720 x 624 x 492 x 237 = 47149060608000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

237 : 1, 3, 79, 237

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,720,624,492,237, is 3.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

720:2x 2x 2x 2x 3x 3x 5

624:2x 2x 2x 2x 3x 13

492:2x 2x 3x 41

237:3x 79

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 2x 2x 2x 2x 3x 3x 3x 3x 5 = 103680

Therefore, the value for common factors is 103680.

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 = 47149060608000/(3x103680)

LCM = 47149060608000/311040

LCM = 151585200

Thus, we can understand that the LCM of 900,720,624,492,237 is 151585200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 720, 624, 492, 237

1. What is the LCM of 900, 720, 624, 492, 237?

Answer: LCM of 900, 720, 624, 492, 237 is 151585200.

2. How to calculate the LCM of 900, 720, 624, 492, 237?

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 900, 720, 624, 492, 237.

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}.