Least Common Multiple of 61/126, 15/915, 646/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/126, 15/915, 646/214 quickly i.e. 591090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/126, 15/915, 646/214 is 591090.

LCM(61/126, 15/915, 646/214) = 591090

LCM of 61/126, 15/915, 646/214

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 61/126,15/915,646/214

Given numbers are 61/126,15/915,646/214

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 61,15,646

Least Common Multiple of Numerators i.e. LCM of 61,15,646 is 591090.

GCF of Denominators means GCF of 126,915,214 as per the given fractions.

GCF of 126,915,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,15,646

LCM of Fractions 61/126,15/915,646/214 is 591090

Given numbers has no common factors except 1. So, there LCM is their product i.e 591090

Least Common Multiple of 61,15,646 with GCF Formula

Least Common Multiple of 61,15,646 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 61,15,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,15,646) = 1

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

GCF(61,15,646) x common factors =1 x 1 = 1

LCM(61,15,646) = ( 61 × 15 × 646 ) / 1

LCM(61,15,646) = 591090 / 1

LCM(61,15,646) = 591090


Lets's calculate GCF of 126,915,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591090/1

Therefore the LCM of Fractions 61/126,15/915,646/214 is 591090

Greatest Common Factor of 126,915,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,915,214 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 126,915,214 . The biggest common factor number is the GCF number.
So the greatest common factor 126,915,214 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 61/126, 15/915, 646/214

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 61/126, 15/915, 646/214?

Answer: LCM of Numerators as per given numbers 61/126, 15/915, 646/214 is

LCM of Numerators i.e. for 61,15,646 is 591090

GCF of denominators i.e. for 126,915,214 is 1.

Thus, LCM of Fractions is 591090.Finally, LCM of Fractions for 61/126, 15/915, 646/214 is 591090.