Least Common Multiple of 769/678, 414/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/678, 414/661 quickly i.e. 318366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/678, 414/661 is 318366.

LCM(769/678, 414/661) = 318366

LCM of 769/678, 414/661

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 769/678,414/661

Given numbers are 769/678,414/661

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 769,414

Least Common Multiple of Numerators i.e. LCM of 769,414 is 318366.

GCF of Denominators means GCF of 678,661 as per the given fractions.

GCF of 678,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,414

LCM of Fractions 769/678,414/661 is 318366

Given numbers has no common factors except 1. So, there LCM is their product i.e 318366

Least Common Multiple of 769,414 with GCF Formula

Least Common Multiple of 769,414 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 769,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,414) = 1

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

GCF(769,414) x common factors =1 x 1 = 1

LCM(769,414) = ( 769 × 414 ) / 1

LCM(769,414) = 318366 / 1

LCM(769,414) = 318366


Lets's calculate GCF of 678,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318366/1

Therefore the LCM of Fractions 769/678,414/661 is 318366

Greatest Common Factor of 678,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,661 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 678,661 . The biggest common factor number is the GCF number.
So the greatest common factor 678,661 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 769/678, 414/661

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 769/678, 414/661?

Answer: LCM of Numerators as per given numbers 769/678, 414/661 is

LCM of Numerators i.e. for 769,414 is 318366

GCF of denominators i.e. for 678,661 is 1.

Thus, LCM of Fractions is 318366.Finally, LCM of Fractions for 769/678, 414/661 is 318366.