Least Common Multiple of 1406/277, 2467/7137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1406/277, 2467/7137 quickly i.e. 3468602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1406/277, 2467/7137 is 3468602.

LCM(1406/277, 2467/7137) = 3468602

LCM of 1406/277, 2467/7137

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 1406/277,2467/7137

Given numbers are 1406/277,2467/7137

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 1406,2467

Least Common Multiple of Numerators i.e. LCM of 1406,2467 is 3468602.

GCF of Denominators means GCF of 277,7137 as per the given fractions.

GCF of 277,7137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1406,2467

LCM of Fractions 1406/277,2467/7137 is 3468602

Given numbers has no common factors except 1. So, there LCM is their product i.e 3468602

Least Common Multiple of 1406,2467 with GCF Formula

Least Common Multiple of 1406,2467 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 1406,2467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1406,2467) = 1

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

GCF(1406,2467) x common factors =1 x 1 = 1

LCM(1406,2467) = ( 1406 × 2467 ) / 1

LCM(1406,2467) = 3468602 / 1

LCM(1406,2467) = 3468602


Lets's calculate GCF of 277,7137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3468602/1

Therefore the LCM of Fractions 1406/277,2467/7137 is 3468602

Greatest Common Factor of 277,7137 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,7137 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 7137

List of positive integer factors of 7137 that divides 7137 without a remainder.

1,3,9,13,39,61,117,183,549,793,2379,7137

Greatest Common Factor

We found the factors 277,7137 . The biggest common factor number is the GCF number.
So the greatest common factor 277,7137 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 1406/277, 2467/7137

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 1406/277, 2467/7137?

Answer: LCM of Numerators as per given numbers 1406/277, 2467/7137 is

LCM of Numerators i.e. for 1406,2467 is 3468602

GCF of denominators i.e. for 277,7137 is 1.

Thus, LCM of Fractions is 3468602.Finally, LCM of Fractions for 1406/277, 2467/7137 is 3468602.