Least Common Multiple of 61/578, 1528/1304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/578, 1528/1304 quickly i.e. 46604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/578, 1528/1304 is 46604.

LCM(61/578, 1528/1304) = 46604

LCM of 61/578, 1528/1304

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 61/578,1528/1304

Given numbers are 61/578,1528/1304

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 61,1528

Least Common Multiple of Numerators i.e. LCM of 61,1528 is 93208.

GCF of Denominators means GCF of 578,1304 as per the given fractions.

GCF of 578,1304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,1528

LCM of Fractions 61/578,1528/1304 is 46604

Given numbers has no common factors except 1. So, there LCM is their product i.e 93208

Least Common Multiple of 61,1528 with GCF Formula

Least Common Multiple of 61,1528 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 61,1528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,1528) = 1

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

GCF(61,1528) x common factors =1 x 1 = 1

LCM(61,1528) = ( 61 × 1528 ) / 1

LCM(61,1528) = 93208 / 1

LCM(61,1528) = 93208


Lets's calculate GCF of 578,1304

2 578, 1304
289, 652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93208/2

Therefore the LCM of Fractions 61/578,1528/1304 is 46604

Greatest Common Factor of 578,1304 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,1304 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 1304

List of positive integer factors of 1304 that divides 1304 without a remainder.

1,2,4,8,163,326,652,1304

Greatest Common Factor

We found the factors 578,1304 . The biggest common factor number is the GCF number.
So the greatest common factor 578,1304 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 61/578, 1528/1304

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 61/578, 1528/1304?

Answer: LCM of Numerators as per given numbers 61/578, 1528/1304 is

LCM of Numerators i.e. for 61,1528 is 93208

GCF of denominators i.e. for 578,1304 is 2.

Thus, LCM of Fractions is 46604.Finally, LCM of Fractions for 61/578, 1528/1304 is 46604.