Least Common Multiple of 769/653, 1414/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/653, 1414/106 quickly i.e. 1087366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/653, 1414/106 is 1087366.

LCM(769/653, 1414/106) = 1087366

LCM of 769/653, 1414/106

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 769/653,1414/106

Given numbers are 769/653,1414/106

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 769,1414

Least Common Multiple of Numerators i.e. LCM of 769,1414 is 1087366.

GCF of Denominators means GCF of 653,106 as per the given fractions.

GCF of 653,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,1414

LCM of Fractions 769/653,1414/106 is 1087366

Given numbers has no common factors except 1. So, there LCM is their product i.e 1087366

Least Common Multiple of 769,1414 with GCF Formula

Least Common Multiple of 769,1414 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 769,1414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,1414) = 1

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

GCF(769,1414) x common factors =1 x 1 = 1

LCM(769,1414) = ( 769 × 1414 ) / 1

LCM(769,1414) = 1087366 / 1

LCM(769,1414) = 1087366


Lets's calculate GCF of 653,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1087366/1

Therefore the LCM of Fractions 769/653,1414/106 is 1087366

Greatest Common Factor of 653,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,106 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 653,106 . The biggest common factor number is the GCF number.
So the greatest common factor 653,106 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 769/653, 1414/106

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 769/653, 1414/106?

Answer: LCM of Numerators as per given numbers 769/653, 1414/106 is

LCM of Numerators i.e. for 769,1414 is 1087366

GCF of denominators i.e. for 653,106 is 1.

Thus, LCM of Fractions is 1087366.Finally, LCM of Fractions for 769/653, 1414/106 is 1087366.