LCM of 224, 865, 313, 626, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 865, 313, 626, 420 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 224, 865, 313, 626, 420. So, keep reading to learn more.
Given numbers are 224,865,313,626,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,865,313,626,420 is 181940640.
Find LCM of 224,865,313,626,420 with Prime Factorization
| 2 | 224, 865, 313, 626, 420 |
| 2 | 112, 865, 313, 313, 210 |
| 5 | 56, 865, 313, 313, 105 |
| 7 | 56, 173, 313, 313, 21 |
| 313 | 8, 173, 313, 313, 3 |
| 8, 173, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 313 x 8 x 173 x 1 x 1 x 3 = 181940640
Therefore, the lowest common multiple of 224,865,313,626,420 is 181940640.
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.
224 x 865 x 313 x 626 x 420 = 15945277689600
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
865 : 1, 5, 173, 865
313 : 1, 313
626 : 1, 2, 313, 626
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,865,313,626,420, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
865:5x 173
313:313
626:2x 313
420:2x 2x 3x 5x 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 5x 7x 313 = 87640
Therefore, the value for common factors is 87640.
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 = 15945277689600/(1x87640)
LCM = 15945277689600/87640
LCM = 181940640
Thus, we can understand that the LCM of 224,865,313,626,420 is 181940640.
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FAQs on LCM of 224, 865, 313, 626, 420
1. What is the LCM of 224, 865, 313, 626, 420?
Answer: LCM of 224, 865, 313, 626, 420 is 181940640.
2. How to calculate the LCM of 224, 865, 313, 626, 420?
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 224, 865, 313, 626, 420.
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}.