LCM of 356, 506, 532, 356, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 506, 532, 356, 168 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 356, 506, 532, 356, 168. So, keep reading to learn more.
Given numbers are 356,506,532,356,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,506,532,356,168 is 71874264.
Find LCM of 356,506,532,356,168 with Prime Factorization
| 2 | 356, 506, 532, 356, 168 |
| 2 | 178, 253, 266, 178, 84 |
| 7 | 89, 253, 133, 89, 42 |
| 89 | 89, 253, 19, 89, 6 |
| 1, 253, 19, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 89 x 1 x 253 x 19 x 1 x 6 = 71874264
Therefore, the lowest common multiple of 356,506,532,356,168 is 71874264.
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.
356 x 506 x 532 x 356 x 168 = 5731541308416
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.
356 : 1, 2, 4, 89, 178, 356
506 : 1, 2, 11, 22, 23, 46, 253, 506
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
356 : 1, 2, 4, 89, 178, 356
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,506,532,356,168, is 2.
Now, the common factors can be found like this.
356:2x 2x 89
506:2x 11x 23
532:2x 2x 7x 19
356:2x 2x 89
168:2x 2x 2x 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 2x 2x 7x 89 = 39872
Therefore, the value for common factors is 39872.
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 = 5731541308416/(2x39872)
LCM = 5731541308416/79744
LCM = 71874264
Thus, we can understand that the LCM of 356,506,532,356,168 is 71874264.
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FAQs on LCM of 356, 506, 532, 356, 168
1. What is the LCM of 356, 506, 532, 356, 168?
Answer: LCM of 356, 506, 532, 356, 168 is 71874264.
2. How to calculate the LCM of 356, 506, 532, 356, 168?
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 356, 506, 532, 356, 168.
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}.