Least Common Multiple of 468, 705, 380, 185, 741

Q: How to Find the LCM of 468, 705, 380, 185, 741 ?

Least Common Multiple of 468, 705, 380, 185, 741 = 77315940 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(468, 705, 380, 185, 741) = 2 x 2 x 3 x 3 x 5 x 13 x 19 x 37 x 47 = 77315940.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 468, 705, 380, 185, 741 i.e. 77315940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 468, 705, 380, 185, 741 is 77315940.

LCM(468, 705, 380, 185, 741) = 77315940

LCM of 468, 705, 380, 185, 741

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 468, 705, 380, 185, 741 by common division method
Least Common Multiple of 468, 705, 380, 185, 741 with GCF Formula

Least Common Multiple of 468,705,380,185,741

Least Common Multiple (LCM) of 468,705,380,185,741 is 77315940

2	468, 705, 380, 185, 741
2	234, 705, 190, 185, 741
3	117, 705, 95, 185, 741
5	39, 235, 95, 185, 247
13	39, 47, 19, 37, 247
19	3, 47, 19, 37, 19
	3, 47, 1, 37, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 19 x 3 x 47 x 1 x 37 x 1 = 77315940

Least Common Multiple of 468,705,380,185,741 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 468,705,380,185,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,705,380,185,741) = 1

common factors(in case of two or more numbers have common factors) = 222300

GCF(468,705,380,185,741) x common factors =1 x 222300 = 222300

LCM(468,705,380,185,741) = ( 468 × 705 × 380 × 185 × 741 ) / 222300

LCM(468,705,380,185,741) = 17187333462000 / 222300

LCM(468,705,380,185,741) = 77315940

∴ Least Common Multiple of 468,705,380,185,741 is 77315940

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 468, 705, 380, 185, 741

1. What is the LCM of 468, 705, 380, 185, 741?

Answer: LCM of 468, 705, 380, 185, 741 is 77315940.

2. What are the Factors of 77315940?

Answer: Factors of 77315940 are . There are integers that are factors of 77315940

3. How to Find the LCM of 468, 705, 380, 185, 741 ?

Least Common Multiple of 468, 705, 380, 185, 741.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(468, 705, 380, 185, 741) = 2 x 2 x 3 x 3 x 5 x 13 x 19 x 37 x 47 = 77315940.