LCM of 282, 836, 688, 535, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 836, 688, 535, 770 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 282, 836, 688, 535, 770. So, keep reading to learn more.
Given numbers are 282,836,688,535,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,836,688,535,770 is 75928646640.
Find LCM of 282,836,688,535,770 with Prime Factorization
| 2 | 282, 836, 688, 535, 770 |
| 2 | 141, 418, 344, 535, 385 |
| 5 | 141, 209, 172, 535, 385 |
| 11 | 141, 209, 172, 107, 77 |
| 141, 19, 172, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 141 x 19 x 172 x 107 x 7 = 75928646640
Therefore, the lowest common multiple of 282,836,688,535,770 is 75928646640.
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.
282 x 836 x 688 x 535 x 770 = 66817209043200
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
535 : 1, 5, 107, 535
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,836,688,535,770, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
836:2x 2x 11x 19
688:2x 2x 2x 2x 43
535:5x 107
770:2x 5x 7x 11
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 66817209043200/(1x880)
LCM = 66817209043200/880
LCM = 75928646640
Thus, we can understand that the LCM of 282,836,688,535,770 is 75928646640.
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FAQs on LCM of 282, 836, 688, 535, 770
1. What is the LCM of 282, 836, 688, 535, 770?
Answer: LCM of 282, 836, 688, 535, 770 is 75928646640.
2. How to calculate the LCM of 282, 836, 688, 535, 770?
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 282, 836, 688, 535, 770.
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}.