Least Common Multiple of 3450/294, 4763/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3450/294, 4763/778 quickly i.e. 8216175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3450/294, 4763/778 is 8216175.

LCM(3450/294, 4763/778) = 8216175

LCM of 3450/294, 4763/778

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 3450/294,4763/778

Given numbers are 3450/294,4763/778

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 3450,4763

Least Common Multiple of Numerators i.e. LCM of 3450,4763 is 16432350.

GCF of Denominators means GCF of 294,778 as per the given fractions.

GCF of 294,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3450,4763

LCM of Fractions 3450/294,4763/778 is 8216175

Given numbers has no common factors except 1. So, there LCM is their product i.e 16432350

Least Common Multiple of 3450,4763 with GCF Formula

Least Common Multiple of 3450,4763 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 3450,4763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3450,4763) = 1

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

GCF(3450,4763) x common factors =1 x 1 = 1

LCM(3450,4763) = ( 3450 × 4763 ) / 1

LCM(3450,4763) = 16432350 / 1

LCM(3450,4763) = 16432350


Lets's calculate GCF of 294,778

2 294, 778
147, 389

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16432350/2

Therefore the LCM of Fractions 3450/294,4763/778 is 8216175

Greatest Common Factor of 294,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,778 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 294,778 . The biggest common factor number is the GCF number.
So the greatest common factor 294,778 is 2.


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 3450/294, 4763/778

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 3450/294, 4763/778?

Answer: LCM of Numerators as per given numbers 3450/294, 4763/778 is

LCM of Numerators i.e. for 3450,4763 is 16432350

GCF of denominators i.e. for 294,778 is 2.

Thus, LCM of Fractions is 8216175.Finally, LCM of Fractions for 3450/294, 4763/778 is 8216175.