LCM of 167, 490, 294, 496, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 490, 294, 496, 756 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 167, 490, 294, 496, 756. So, keep reading to learn more.
Given numbers are 167,490,294,496,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,490,294,496,756 is 547933680.
Find LCM of 167,490,294,496,756 with Prime Factorization
| 2 | 167, 490, 294, 496, 756 |
| 2 | 167, 245, 147, 248, 378 |
| 3 | 167, 245, 147, 124, 189 |
| 7 | 167, 245, 49, 124, 63 |
| 7 | 167, 35, 7, 124, 9 |
| 167, 5, 1, 124, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 167 x 5 x 1 x 124 x 9 = 547933680
Therefore, the lowest common multiple of 167,490,294,496,756 is 547933680.
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.
167 x 490 x 294 x 496 x 756 = 9021180107520
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.
167 : 1, 167
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,490,294,496,756, is 1.
Now, the common factors can be found like this.
167:167
490:2x 5x 7x 7
294:2x 3x 7x 7
496:2x 2x 2x 2x 31
756:2x 2x 3x 3x 3x 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 2x 3x 7x 7x 7 = 16464
Therefore, the value for common factors is 16464.
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 = 9021180107520/(1x16464)
LCM = 9021180107520/16464
LCM = 547933680
Thus, we can understand that the LCM of 167,490,294,496,756 is 547933680.
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FAQs on LCM of 167, 490, 294, 496, 756
1. What is the LCM of 167, 490, 294, 496, 756?
Answer: LCM of 167, 490, 294, 496, 756 is 547933680.
2. How to calculate the LCM of 167, 490, 294, 496, 756?
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 167, 490, 294, 496, 756.
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}.