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LCM of 376, 140, 564, 774

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


Find the LCM of 376, 140, 564, 774 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 376, 140, 564, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 376,140,564,774

Given numbers are 376,140,564,774

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

The LCM of 376,140,564,774 is 5092920.

Find LCM of 376,140,564,774 with Prime Factorization


2 376, 140, 564, 774
2 188, 70, 282, 387
3 94, 35, 141, 387
47 94, 35, 47, 129
2, 35, 1, 129

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

2 x 2 x 3 x 47 x 2 x 35 x 1 x 129 = 5092920

Therefore, the lowest common multiple of 376,140,564,774 is 5092920.

LCM Formula to Find Lowest Common Multiple of 376,140,564,774

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.

376 x 140 x 564 x 774 = 22979255040

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,140,564,774, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

140:2x 2x 5x 7

564:2x 2x 3x 47

774:2x 3x 3x 43

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 2x 3x 47 = 2256

Therefore, the value for common factors is 2256.

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 = 22979255040/(2x2256)

LCM = 22979255040/4512

LCM = 5092920

Thus, we can understand that the LCM of 376,140,564,774 is 5092920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 376, 140, 564, 774

1. What is the LCM of 376, 140, 564, 774?

Answer: LCM of 376, 140, 564, 774 is 5092920.

2. How to calculate the LCM of 376, 140, 564, 774?

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 376, 140, 564, 774.

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}.