Least Common Multiple of 9678/705, 5518/7001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9678/705, 5518/7001 quickly i.e. 26701602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9678/705, 5518/7001 is 26701602.

LCM(9678/705, 5518/7001) = 26701602

LCM of 9678/705, 5518/7001

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 9678/705,5518/7001

Given numbers are 9678/705,5518/7001

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 9678,5518

Least Common Multiple of Numerators i.e. LCM of 9678,5518 is 26701602.

GCF of Denominators means GCF of 705,7001 as per the given fractions.

GCF of 705,7001 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9678,5518

LCM of Fractions 9678/705,5518/7001 is 26701602

2 9678, 5518
4839, 2759

∴ So the LCM of the given numbers is 2 x 4839 x 2759 = 26701602

Least Common Multiple of 9678,5518 with GCF Formula

Least Common Multiple of 9678,5518 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 9678,5518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9678,5518) = 2

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

GCF(9678,5518) x common factors =2 x 1 = 2

LCM(9678,5518) = ( 9678 × 5518 ) / 2

LCM(9678,5518) = 53403204 / 2

LCM(9678,5518) = 26701602


Lets's calculate GCF of 705,7001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26701602/1

Therefore the LCM of Fractions 9678/705,5518/7001 is 26701602

Greatest Common Factor of 705,7001 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,7001 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1,7001

Greatest Common Factor

We found the factors 705,7001 . The biggest common factor number is the GCF number.
So the greatest common factor 705,7001 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 9678/705, 5518/7001

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 9678/705, 5518/7001?

Answer: LCM of Numerators as per given numbers 9678/705, 5518/7001 is

LCM of Numerators i.e. for 9678,5518 is 26701602

GCF of denominators i.e. for 705,7001 is 1.

Thus, LCM of Fractions is 26701602.Finally, LCM of Fractions for 9678/705, 5518/7001 is 26701602.