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LCM of 434, 703, 931, 846

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 434, 703, 931, 846 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 434, 703, 931, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 434,703,931,846

Given numbers are 434,703,931,846

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 434,703,931,846 is 903407022.

Find LCM of 434,703,931,846 with Prime Factorization


2 434, 703, 931, 846
7 217, 703, 931, 423
19 31, 703, 133, 423
31, 37, 7, 423

Multiply the prime numbers at the bottom and the left side.

2 x 7 x 19 x 31 x 37 x 7 x 423 = 903407022

Therefore, the lowest common multiple of 434,703,931,846 is 903407022.

LCM Formula to Find Lowest Common Multiple of 434,703,931,846

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.

434 x 703 x 931 x 846 = 240306267852

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

703 : 1, 19, 37, 703

931 : 1, 7, 19, 49, 133, 931

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,703,931,846, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

703:19x 37

931:7x 7x 19

846:2x 3x 3x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 19 = 266

Therefore, the value for common factors is 266.

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 = 240306267852/(1x266)

LCM = 240306267852/266

LCM = 903407022

Thus, we can understand that the LCM of 434,703,931,846 is 903407022.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 434, 703, 931, 846

1. What is the LCM of 434, 703, 931, 846?

Answer: LCM of 434, 703, 931, 846 is 903407022.

2. How to calculate the LCM of 434, 703, 931, 846?

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 434, 703, 931, 846.

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}.