Least Common Multiple of 105/632, 224/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/632, 224/244 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/632, 224/244 is 840.

LCM(105/632, 224/244) = 840

LCM of 105/632, 224/244

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 105/632,224/244

Given numbers are 105/632,224/244

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 105,224

Least Common Multiple of Numerators i.e. LCM of 105,224 is 3360.

GCF of Denominators means GCF of 632,244 as per the given fractions.

GCF of 632,244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,224

LCM of Fractions 105/632,224/244 is 840

7 105, 224
15, 32

∴ So the LCM of the given numbers is 7 x 15 x 32 = 3360

Least Common Multiple of 105,224 with GCF Formula

Least Common Multiple of 105,224 with GCF Formula

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

We need to calculate greatest common factor of 105,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,224) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(105,224) x common factors =7 x 1 = 7

LCM(105,224) = ( 105 × 224 ) / 7

LCM(105,224) = 23520 / 7

LCM(105,224) = 3360


Lets's calculate GCF of 632,244

2 632, 244
2 316, 122
158, 61

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/4

Therefore the LCM of Fractions 105/632,224/244 is 840

Greatest Common Factor of 632,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,244 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 632,244 . The biggest common factor number is the GCF number.
So the greatest common factor 632,244 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 105/632, 224/244

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 105/632, 224/244?

Answer: LCM of Numerators as per given numbers 105/632, 224/244 is

LCM of Numerators i.e. for 105,224 is 3360

GCF of denominators i.e. for 632,244 is 4.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 105/632, 224/244 is 840.