Least Common Multiple of 1427/127, 6454/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1427/127, 6454/490 quickly i.e. 9209858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1427/127, 6454/490 is 9209858.

LCM(1427/127, 6454/490) = 9209858

LCM of 1427/127, 6454/490

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 1427/127,6454/490

Given numbers are 1427/127,6454/490

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 1427,6454

Least Common Multiple of Numerators i.e. LCM of 1427,6454 is 9209858.

GCF of Denominators means GCF of 127,490 as per the given fractions.

GCF of 127,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1427,6454

LCM of Fractions 1427/127,6454/490 is 9209858

Given numbers has no common factors except 1. So, there LCM is their product i.e 9209858

Least Common Multiple of 1427,6454 with GCF Formula

Least Common Multiple of 1427,6454 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 1427,6454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1427,6454) = 1

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

GCF(1427,6454) x common factors =1 x 1 = 1

LCM(1427,6454) = ( 1427 × 6454 ) / 1

LCM(1427,6454) = 9209858 / 1

LCM(1427,6454) = 9209858


Lets's calculate GCF of 127,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9209858/1

Therefore the LCM of Fractions 1427/127,6454/490 is 9209858

Greatest Common Factor of 127,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,490 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 127,490 . The biggest common factor number is the GCF number.
So the greatest common factor 127,490 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1427/127, 6454/490

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 1427/127, 6454/490?

Answer: LCM of Numerators as per given numbers 1427/127, 6454/490 is

LCM of Numerators i.e. for 1427,6454 is 9209858

GCF of denominators i.e. for 127,490 is 1.

Thus, LCM of Fractions is 9209858.Finally, LCM of Fractions for 1427/127, 6454/490 is 9209858.