LCM for 28 and 245

What's the Least Common Multiple (LCM) of 28 and 245?

Answer: LCM of 28 and 245 is 980

(Nine hundred eighty)

Finding LCM for 28 and 245 using GCF's of these numbers

The first method to find LCM for numbers 28 and 245 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 245 is 7, so

LCM = (28 × 245) ÷ 7

LCM = 6860 ÷ 7

LCM = 980

Finding LCM for 28 and 245 by Listing Multiples

The second method to find LCM for numbers 28 and 245 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, 924, 952, 980, 1008, 1036

Multiples of 245: 245, 490, 735, 980, 1225, 1470

So the LCM for 28 and 245 is 980

Finding LCM for 28 and 245 by Prime Factorization

Another method to find LCM for numbers 28 and 245 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 245: 5, 7, 7 (exponent form: 51, 72)

22 × 72 × 51 = 980

LCM Table

Number 1Number 2LCM
132453185
14245
15245735
162453920
172454165
182454410
192454655
20245980
21245735
222455390
232455635
242455880
25245
262456370
272456615
28245
292457105
302451470
312457595
322457840
332458085
342458330
35245
362458820
372459065
382459310
392459555
402451960
4124510045
422451470

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 28 and 245? (The answer is: 980). Select the first number (e.g. '28') and the second number (e.g. '245'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 28 and 245?

LCM of 28 and 245 is 980