LCM of 402, 759, 421, 460, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 759, 421, 460, 294 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 402, 759, 421, 460, 294. So, keep reading to learn more.
Given numbers are 402,759,421,460,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,759,421,460,294 is 20980930740.
Find LCM of 402,759,421,460,294 with Prime Factorization
| 2 | 402, 759, 421, 460, 294 |
| 3 | 201, 759, 421, 230, 147 |
| 23 | 67, 253, 421, 230, 49 |
| 67, 11, 421, 10, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 67 x 11 x 421 x 10 x 49 = 20980930740
Therefore, the lowest common multiple of 402,759,421,460,294 is 20980930740.
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.
402 x 759 x 421 x 460 x 294 = 17372210652720
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
759 : 1, 3, 11, 23, 33, 69, 253, 759
421 : 1, 421
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,759,421,460,294, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
759:3x 11x 23
421:421
460:2x 2x 5x 23
294:2x 3x 7x 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 3x 3x 23 = 828
Therefore, the value for common factors is 828.
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 = 17372210652720/(1x828)
LCM = 17372210652720/828
LCM = 20980930740
Thus, we can understand that the LCM of 402,759,421,460,294 is 20980930740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 402, 759, 421, 460, 294
1. What is the LCM of 402, 759, 421, 460, 294?
Answer: LCM of 402, 759, 421, 460, 294 is 20980930740.
2. How to calculate the LCM of 402, 759, 421, 460, 294?
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 402, 759, 421, 460, 294.
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}.