Least Common Multiple of 8114/140, 2645/1262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8114/140, 2645/1262 quickly i.e. 10730765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8114/140, 2645/1262 is 10730765.

LCM(8114/140, 2645/1262) = 10730765

LCM of 8114/140, 2645/1262

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 8114/140,2645/1262

Given numbers are 8114/140,2645/1262

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 8114,2645

Least Common Multiple of Numerators i.e. LCM of 8114,2645 is 21461530.

GCF of Denominators means GCF of 140,1262 as per the given fractions.

GCF of 140,1262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8114,2645

LCM of Fractions 8114/140,2645/1262 is 10730765

Given numbers has no common factors except 1. So, there LCM is their product i.e 21461530

Least Common Multiple of 8114,2645 with GCF Formula

Least Common Multiple of 8114,2645 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 8114,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8114,2645) = 1

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

GCF(8114,2645) x common factors =1 x 1 = 1

LCM(8114,2645) = ( 8114 × 2645 ) / 1

LCM(8114,2645) = 21461530 / 1

LCM(8114,2645) = 21461530


Lets's calculate GCF of 140,1262

2 140, 1262
70, 631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21461530/2

Therefore the LCM of Fractions 8114/140,2645/1262 is 10730765

Greatest Common Factor of 140,1262 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,1262 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 1262

List of positive integer factors of 1262 that divides 1262 without a remainder.

1,2,631,1262

Greatest Common Factor

We found the factors 140,1262 . The biggest common factor number is the GCF number.
So the greatest common factor 140,1262 is 2.


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 8114/140, 2645/1262

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 8114/140, 2645/1262?

Answer: LCM of Numerators as per given numbers 8114/140, 2645/1262 is

LCM of Numerators i.e. for 8114,2645 is 21461530

GCF of denominators i.e. for 140,1262 is 2.

Thus, LCM of Fractions is 10730765.Finally, LCM of Fractions for 8114/140, 2645/1262 is 10730765.