LCM of 942, 870, 456, 482, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 870, 456, 482, 930 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 942, 870, 456, 482, 930. So, keep reading to learn more.
Given numbers are 942,870,456,482,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,870,456,482,930 is 77555255640.
Find LCM of 942,870,456,482,930 with Prime Factorization
| 2 | 942, 870, 456, 482, 930 |
| 3 | 471, 435, 228, 241, 465 |
| 5 | 157, 145, 76, 241, 155 |
| 157, 29, 76, 241, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 157 x 29 x 76 x 241 x 31 = 77555255640
Therefore, the lowest common multiple of 942,870,456,482,930 is 77555255640.
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.
942 x 870 x 456 x 482 x 930 = 167519352182400
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
482 : 1, 2, 241, 482
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,870,456,482,930, is 2.
Now, the common factors can be found like this.
942:2x 3x 157
870:2x 3x 5x 29
456:2x 2x 2x 3x 19
482:2x 241
930:2x 3x 5x 31
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 167519352182400/(2x1080)
LCM = 167519352182400/2160
LCM = 77555255640
Thus, we can understand that the LCM of 942,870,456,482,930 is 77555255640.
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FAQs on LCM of 942, 870, 456, 482, 930
1. What is the LCM of 942, 870, 456, 482, 930?
Answer: LCM of 942, 870, 456, 482, 930 is 77555255640.
2. How to calculate the LCM of 942, 870, 456, 482, 930?
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 942, 870, 456, 482, 930.
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}.