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LCM of 967, 920, 874, 348

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


Find the LCM of 967, 920, 874, 348 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 967, 920, 874, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,920,874,348

Given numbers are 967,920,874,348

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

The LCM of 967,920,874,348 is 1470574920.

Find LCM of 967,920,874,348 with Prime Factorization


2 967, 920, 874, 348
2 967, 460, 437, 174
23 967, 230, 437, 87
967, 10, 19, 87

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

2 x 2 x 23 x 967 x 10 x 19 x 87 = 1470574920

Therefore, the lowest common multiple of 967,920,874,348 is 1470574920.

LCM Formula to Find Lowest Common Multiple of 967,920,874,348

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.

967 x 920 x 874 x 348 = 270585785280

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.

967 : 1, 967

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

874 : 1, 2, 19, 23, 38, 46, 437, 874

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,920,874,348, is 1.

Now, the common factors can be found like this.

967:967

920:2x 2x 2x 5x 23

874:2x 19x 23

348:2x 2x 3x 29

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 23 = 184

Therefore, the value for common factors is 184.

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 = 270585785280/(1x184)

LCM = 270585785280/184

LCM = 1470574920

Thus, we can understand that the LCM of 967,920,874,348 is 1470574920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 920, 874, 348

1. What is the LCM of 967, 920, 874, 348?

Answer: LCM of 967, 920, 874, 348 is 1470574920.

2. How to calculate the LCM of 967, 920, 874, 348?

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 967, 920, 874, 348.

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}.