LCM of 938, 737, 314, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 737, 314, 456 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 938, 737, 314, 456. So, keep reading to learn more.
Given numbers are 938,737,314,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,737,314,456 is 369343128.
Find LCM of 938,737,314,456 with Prime Factorization
| 2 | 938, 737, 314, 456 |
| 67 | 469, 737, 157, 228 |
| 7, 11, 157, 228 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 7 x 11 x 157 x 228 = 369343128
Therefore, the lowest common multiple of 938,737,314,456 is 369343128.
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.
938 x 737 x 314 x 456 = 98983958304
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
737 : 1, 11, 67, 737
314 : 1, 2, 157, 314
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,737,314,456, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
737:11x 67
314:2x 157
456:2x 2x 2x 3x 19
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 67 = 268
Therefore, the value for common factors is 268.
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 = 98983958304/(1x268)
LCM = 98983958304/268
LCM = 369343128
Thus, we can understand that the LCM of 938,737,314,456 is 369343128.
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FAQs on LCM of 938, 737, 314, 456
1. What is the LCM of 938, 737, 314, 456?
Answer: LCM of 938, 737, 314, 456 is 369343128.
2. How to calculate the LCM of 938, 737, 314, 456?
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 938, 737, 314, 456.
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}.