Least Common Multiple of 7406/686, 1501/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7406/686, 1501/844 quickly i.e. 5558203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7406/686, 1501/844 is 5558203.

LCM(7406/686, 1501/844) = 5558203

LCM of 7406/686, 1501/844

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 7406/686,1501/844

Given numbers are 7406/686,1501/844

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 7406,1501

Least Common Multiple of Numerators i.e. LCM of 7406,1501 is 11116406.

GCF of Denominators means GCF of 686,844 as per the given fractions.

GCF of 686,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7406,1501

LCM of Fractions 7406/686,1501/844 is 5558203

Given numbers has no common factors except 1. So, there LCM is their product i.e 11116406

Least Common Multiple of 7406,1501 with GCF Formula

Least Common Multiple of 7406,1501 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 7406,1501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7406,1501) = 1

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

GCF(7406,1501) x common factors =1 x 1 = 1

LCM(7406,1501) = ( 7406 × 1501 ) / 1

LCM(7406,1501) = 11116406 / 1

LCM(7406,1501) = 11116406


Lets's calculate GCF of 686,844

2 686, 844
343, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11116406/2

Therefore the LCM of Fractions 7406/686,1501/844 is 5558203

Greatest Common Factor of 686,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,844 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 686,844 . The biggest common factor number is the GCF number.
So the greatest common factor 686,844 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 7406/686, 1501/844

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 7406/686, 1501/844?

Answer: LCM of Numerators as per given numbers 7406/686, 1501/844 is

LCM of Numerators i.e. for 7406,1501 is 11116406

GCF of denominators i.e. for 686,844 is 2.

Thus, LCM of Fractions is 5558203.Finally, LCM of Fractions for 7406/686, 1501/844 is 5558203.