Least Common Multiple of 77/294, 43/510, 306/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/294, 43/510, 306/148 quickly i.e. 506583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/294, 43/510, 306/148 is 506583.

LCM(77/294, 43/510, 306/148) = 506583

LCM of 77/294, 43/510, 306/148

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 77/294,43/510,306/148

Given numbers are 77/294,43/510,306/148

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 77,43,306

Least Common Multiple of Numerators i.e. LCM of 77,43,306 is 1013166.

GCF of Denominators means GCF of 294,510,148 as per the given fractions.

GCF of 294,510,148 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,43,306

LCM of Fractions 77/294,43/510,306/148 is 506583

Given numbers has no common factors except 1. So, there LCM is their product i.e 1013166

Least Common Multiple of 77,43,306 with GCF Formula

Least Common Multiple of 77,43,306 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 77,43,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,43,306) = 1

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

GCF(77,43,306) x common factors =1 x 1 = 1

LCM(77,43,306) = ( 77 × 43 × 306 ) / 1

LCM(77,43,306) = 1013166 / 1

LCM(77,43,306) = 1013166


Lets's calculate GCF of 294,510,148

2 294, 510, 148
147, 255, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1013166/2

Therefore the LCM of Fractions 77/294,43/510,306/148 is 506583

Greatest Common Factor of 294,510,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,510,148 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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 294,510,148 . The biggest common factor number is the GCF number.
So the greatest common factor 294,510,148 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 77/294, 43/510, 306/148

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 77/294, 43/510, 306/148?

Answer: LCM of Numerators as per given numbers 77/294, 43/510, 306/148 is

LCM of Numerators i.e. for 77,43,306 is 1013166

GCF of denominators i.e. for 294,510,148 is 2.

Thus, LCM of Fractions is 506583.Finally, LCM of Fractions for 77/294, 43/510, 306/148 is 506583.