Least Common Multiple of 1226/461, 2114/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1226/461, 2114/315 quickly i.e. 1295882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1226/461, 2114/315 is 1295882.

LCM(1226/461, 2114/315) = 1295882

LCM of 1226/461, 2114/315

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 1226/461,2114/315

Given numbers are 1226/461,2114/315

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 1226,2114

Least Common Multiple of Numerators i.e. LCM of 1226,2114 is 1295882.

GCF of Denominators means GCF of 461,315 as per the given fractions.

GCF of 461,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1226,2114

LCM of Fractions 1226/461,2114/315 is 1295882

2 1226, 2114
613, 1057

∴ So the LCM of the given numbers is 2 x 613 x 1057 = 1295882

Least Common Multiple of 1226,2114 with GCF Formula

Least Common Multiple of 1226,2114 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 1226,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1226,2114) = 2

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

GCF(1226,2114) x common factors =2 x 1 = 2

LCM(1226,2114) = ( 1226 × 2114 ) / 2

LCM(1226,2114) = 2591764 / 2

LCM(1226,2114) = 1295882


Lets's calculate GCF of 461,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1295882/1

Therefore the LCM of Fractions 1226/461,2114/315 is 1295882

Greatest Common Factor of 461,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,315 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 461,315 . The biggest common factor number is the GCF number.
So the greatest common factor 461,315 is 1.


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 1226/461, 2114/315

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 1226/461, 2114/315?

Answer: LCM of Numerators as per given numbers 1226/461, 2114/315 is

LCM of Numerators i.e. for 1226,2114 is 1295882

GCF of denominators i.e. for 461,315 is 1.

Thus, LCM of Fractions is 1295882.Finally, LCM of Fractions for 1226/461, 2114/315 is 1295882.