LCM for 14 and 245
What's the Least Common Multiple (LCM) of 14 and 245?
(Four hundred ninety)
Finding LCM for 14 and 245 using GCF's of these numbers
The first method to find LCM for numbers 14 and 245 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 14 and 245 is 7, so
LCM = (14 × 245) ÷ 7
LCM = 3430 ÷ 7
LCM = 490
Finding LCM for 14 and 245 by Listing Multiples
The second method to find LCM for numbers 14 and 245 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518
Multiples of 245: 245, 490, 735, 980
So the LCM for 14 and 245 is 490
Finding LCM for 14 and 245 by Prime Factorization
Another method to find LCM for numbers 14 and 245 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 14: 2, 7 (exponent form: 21, 71)
All Prime Factors of 245: 5, 7, 7 (exponent form: 51, 72)
21 × 72 × 51 = 490
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/14--245">What is the LCM of 14 and 245? - 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