LCM for 30 and 470
What's the Least Common Multiple (LCM) of 30 and 470?
Answer
(One thousand, four hundred ten)
Finding LCM for 30 and 470 using GCF of these numbers
The first method to find LCM for numbers 30 and 470 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 470 is 10, so
LCM = (30 × 470) ÷ 10
LCM = 14100 ÷ 10
LCM = 1410
Finding LCM for 30 and 470 by Listing Multiples
The second method to find LCM for numbers 30 and 470 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470
Multiples of 470: 470, 940, 1410, 1880, 2350
So the LCM for 30 and 470 is 1410
Finding LCM for 30 and 470 by Prime Factorization
Another method to find LCM for numbers 30 and 470 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 470: 2, 5, 47 (exponent form: 21, 51, 471)
21 × 31 × 51 × 471 = 1410
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/30--470">What is the LCM of 30 and 470? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers