Least Common Multiple of 6223/116, 1417/8253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6223/116, 1417/8253 quickly i.e. 8817991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6223/116, 1417/8253 is 8817991.

LCM(6223/116, 1417/8253) = 8817991

LCM of 6223/116, 1417/8253

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 6223/116,1417/8253

Given numbers are 6223/116,1417/8253

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 6223,1417

Least Common Multiple of Numerators i.e. LCM of 6223,1417 is 8817991.

GCF of Denominators means GCF of 116,8253 as per the given fractions.

GCF of 116,8253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6223,1417

LCM of Fractions 6223/116,1417/8253 is 8817991

Given numbers has no common factors except 1. So, there LCM is their product i.e 8817991

Least Common Multiple of 6223,1417 with GCF Formula

Least Common Multiple of 6223,1417 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 6223,1417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6223,1417) = 1

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

GCF(6223,1417) x common factors =1 x 1 = 1

LCM(6223,1417) = ( 6223 × 1417 ) / 1

LCM(6223,1417) = 8817991 / 1

LCM(6223,1417) = 8817991


Lets's calculate GCF of 116,8253

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8817991/1

Therefore the LCM of Fractions 6223/116,1417/8253 is 8817991

Greatest Common Factor of 116,8253 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,8253 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1,3,7,9,21,63,131,393,917,1179,2751,8253

Greatest Common Factor

We found the factors 116,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 116,8253 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6223/116, 1417/8253

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 6223/116, 1417/8253?

Answer: LCM of Numerators as per given numbers 6223/116, 1417/8253 is

LCM of Numerators i.e. for 6223,1417 is 8817991

GCF of denominators i.e. for 116,8253 is 1.

Thus, LCM of Fractions is 8817991.Finally, LCM of Fractions for 6223/116, 1417/8253 is 8817991.