Least Common Multiple of 2117/632, 1460/8288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2117/632, 1460/8288 quickly i.e. 42340/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2117/632, 1460/8288 is 42340/8.

LCM(2117/632, 1460/8288) = 42340/8

LCM of 2117/632, 1460/8288

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 2117/632,1460/8288

Given numbers are 2117/632,1460/8288

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 2117,1460

Least Common Multiple of Numerators i.e. LCM of 2117,1460 is 42340.

GCF of Denominators means GCF of 632,8288 as per the given fractions.

GCF of 632,8288 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2117,1460

LCM of Fractions 2117/632,1460/8288 is 42340/8

73 2117, 1460
29, 20

∴ So the LCM of the given numbers is 73 x 29 x 20 = 42340

Least Common Multiple of 2117,1460 with GCF Formula

Least Common Multiple of 2117,1460 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 2117,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2117,1460) = 73

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

GCF(2117,1460) x common factors =73 x 1 = 73

LCM(2117,1460) = ( 2117 × 1460 ) / 73

LCM(2117,1460) = 3090820 / 73

LCM(2117,1460) = 42340


Lets's calculate GCF of 632,8288

2 632, 8288
2 316, 4144
2 158, 2072
79, 1036

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42340/8

Therefore the LCM of Fractions 2117/632,1460/8288 is 42340/8

Greatest Common Factor of 632,8288 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,8288 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 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288

Greatest Common Factor

We found the factors 632,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 632,8288 is 8.


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 2117/632, 1460/8288

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 2117/632, 1460/8288?

Answer: LCM of Numerators as per given numbers 2117/632, 1460/8288 is

LCM of Numerators i.e. for 2117,1460 is 42340

GCF of denominators i.e. for 632,8288 is 8.

Thus, LCM of Fractions is 42340/8.Finally, LCM of Fractions for 2117/632, 1460/8288 is 42340/8.