Least Common Multiple of 169/14, 120/56, 562/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/14, 120/56, 562/697 quickly i.e. 5698680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/14, 120/56, 562/697 is 5698680.

LCM(169/14, 120/56, 562/697) = 5698680

LCM of 169/14, 120/56, 562/697

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 169/14,120/56,562/697

Given numbers are 169/14,120/56,562/697

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 169,120,562

Least Common Multiple of Numerators i.e. LCM of 169,120,562 is 5698680.

GCF of Denominators means GCF of 14,56,697 as per the given fractions.

GCF of 14,56,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,120,562

LCM of Fractions 169/14,120/56,562/697 is 5698680

2 169, 120, 562
169, 60, 281

∴ So the LCM of the given numbers is 2 x 169 x 60 x 281 = 5698680

Least Common Multiple of 169,120,562 with GCF Formula

Least Common Multiple of 169,120,562 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 169,120,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,120,562) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(169,120,562) x common factors =1 x 2 = 2

LCM(169,120,562) = ( 169 × 120 × 562 ) / 2

LCM(169,120,562) = 11397360 / 2

LCM(169,120,562) = 5698680


Lets's calculate GCF of 14,56,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5698680/1

Therefore the LCM of Fractions 169/14,120/56,562/697 is 5698680

Greatest Common Factor of 14,56,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,56,697 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 14,56,697 . The biggest common factor number is the GCF number.
So the greatest common factor 14,56,697 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 169/14, 120/56, 562/697

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 169/14, 120/56, 562/697?

Answer: LCM of Numerators as per given numbers 169/14, 120/56, 562/697 is

LCM of Numerators i.e. for 169,120,562 is 5698680

GCF of denominators i.e. for 14,56,697 is 1.

Thus, LCM of Fractions is 5698680.Finally, LCM of Fractions for 169/14, 120/56, 562/697 is 5698680.