Least Common Multiple of 698/15, 688/4726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/15, 688/4726 quickly i.e. 240112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/15, 688/4726 is 240112.

LCM(698/15, 688/4726) = 240112

LCM of 698/15, 688/4726

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 698/15,688/4726

Given numbers are 698/15,688/4726

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 698,688

Least Common Multiple of Numerators i.e. LCM of 698,688 is 240112.

GCF of Denominators means GCF of 15,4726 as per the given fractions.

GCF of 15,4726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,688

LCM of Fractions 698/15,688/4726 is 240112

2 698, 688
349, 344

∴ So the LCM of the given numbers is 2 x 349 x 344 = 240112

Least Common Multiple of 698,688 with GCF Formula

Least Common Multiple of 698,688 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 698,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,688) = 2

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

GCF(698,688) x common factors =2 x 1 = 2

LCM(698,688) = ( 698 × 688 ) / 2

LCM(698,688) = 480224 / 2

LCM(698,688) = 240112


Lets's calculate GCF of 15,4726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240112/1

Therefore the LCM of Fractions 698/15,688/4726 is 240112

Greatest Common Factor of 15,4726 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,4726 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 4726

List of positive integer factors of 4726 that divides 4726 without a remainder.

1,2,17,34,139,278,2363,4726

Greatest Common Factor

We found the factors 15,4726 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4726 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 698/15, 688/4726

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 698/15, 688/4726?

Answer: LCM of Numerators as per given numbers 698/15, 688/4726 is

LCM of Numerators i.e. for 698,688 is 240112

GCF of denominators i.e. for 15,4726 is 1.

Thus, LCM of Fractions is 240112.Finally, LCM of Fractions for 698/15, 688/4726 is 240112.