LCM of 153, 167, 402, 288, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 167, 402, 288, 624 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 153, 167, 402, 288, 624. So, keep reading to learn more.
Given numbers are 153,167,402,288,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,167,402,288,624 is 712157472.
Find LCM of 153,167,402,288,624 with Prime Factorization
| 2 | 153, 167, 402, 288, 624 |
| 2 | 153, 167, 201, 144, 312 |
| 2 | 153, 167, 201, 72, 156 |
| 2 | 153, 167, 201, 36, 78 |
| 3 | 153, 167, 201, 18, 39 |
| 3 | 51, 167, 67, 6, 13 |
| 17, 167, 67, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 17 x 167 x 67 x 2 x 13 = 712157472
Therefore, the lowest common multiple of 153,167,402,288,624 is 712157472.
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.
153 x 167 x 402 x 288 x 624 = 1845912167424
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.
153 : 1, 3, 9, 17, 51, 153
167 : 1, 167
402 : 1, 2, 3, 6, 67, 134, 201, 402
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,167,402,288,624, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
167:167
402:2x 3x 67
288:2x 2x 2x 2x 2x 3x 3
624:2x 2x 2x 2x 3x 13
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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 1845912167424/(1x2592)
LCM = 1845912167424/2592
LCM = 712157472
Thus, we can understand that the LCM of 153,167,402,288,624 is 712157472.
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FAQs on LCM of 153, 167, 402, 288, 624
1. What is the LCM of 153, 167, 402, 288, 624?
Answer: LCM of 153, 167, 402, 288, 624 is 712157472.
2. How to calculate the LCM of 153, 167, 402, 288, 624?
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 153, 167, 402, 288, 624.
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}.