LCM of 920, 558, 844, 714, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 558, 844, 714, 253 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 920, 558, 844, 714, 253. So, keep reading to learn more.
Given numbers are 920,558,844,714,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,558,844,714,253 is 70894759320.
Find LCM of 920,558,844,714,253 with Prime Factorization
| 2 | 920, 558, 844, 714, 253 |
| 2 | 460, 279, 422, 357, 253 |
| 3 | 230, 279, 211, 357, 253 |
| 23 | 230, 93, 211, 119, 253 |
| 10, 93, 211, 119, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 10 x 93 x 211 x 119 x 11 = 70894759320
Therefore, the lowest common multiple of 920,558,844,714,253 is 70894759320.
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.
920 x 558 x 844 x 714 x 253 = 78267814289280
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
844 : 1, 2, 4, 211, 422, 844
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,558,844,714,253, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
558:2x 3x 3x 31
844:2x 2x 211
714:2x 3x 7x 17
253:11x 23
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 23 = 1104
Therefore, the value for common factors is 1104.
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 = 78267814289280/(1x1104)
LCM = 78267814289280/1104
LCM = 70894759320
Thus, we can understand that the LCM of 920,558,844,714,253 is 70894759320.
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FAQs on LCM of 920, 558, 844, 714, 253
1. What is the LCM of 920, 558, 844, 714, 253?
Answer: LCM of 920, 558, 844, 714, 253 is 70894759320.
2. How to calculate the LCM of 920, 558, 844, 714, 253?
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 920, 558, 844, 714, 253.
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}.