Least Common Multiple of 14, 19, 46, 978

Q: How to Find the LCM of 14, 19, 46, 978 ?

Least Common Multiple of 14, 19, 46, 978 = 2991702 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(14, 19, 46, 978) = 2 x 3 x 7 x 19 x 23 x 163 = 2991702.

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 14, 19, 46, 978 i.e. 2991702 smallest integer divisible by all numbers.

Least common multiple (LCM) of 14, 19, 46, 978 is 2991702.

LCM(14, 19, 46, 978) = 2991702

LCM of 14, 19, 46, 978

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

Least Common Multiple of 14, 19, 46, 978 by common division method
Least Common Multiple of 14, 19, 46, 978 with GCF Formula

Least Common Multiple of 14,19,46,978

Least Common Multiple (LCM) of 14,19,46,978 is 2991702

2	14, 19, 46, 978
	7, 19, 23, 489

∴ So the LCM of the given numbers is 2 x 7 x 19 x 23 x 489 = 2991702

Least Common Multiple of 14,19,46,978 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 14,19,46,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,19,46,978) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(14,19,46,978) x common factors =1 x 4 = 4

LCM(14,19,46,978) = ( 14 × 19 × 46 × 978 ) / 4

LCM(14,19,46,978) = 11966808 / 4

LCM(14,19,46,978) = 2991702

∴ Least Common Multiple of 14,19,46,978 is 2991702

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 14, 19, 46, 978

1. What is the LCM of 14, 19, 46, 978?

Answer: LCM of 14, 19, 46, 978 is 2991702.

2. What are the Factors of 2991702?

Answer: Factors of 2991702 are . There are integers that are factors of 2991702

3. How to Find the LCM of 14, 19, 46, 978 ?

Least Common Multiple of 14, 19, 46, 978.

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(14, 19, 46, 978) = 2 x 3 x 7 x 19 x 23 x 163 = 2991702.