Least Common Multiple of 594/48, 804/61, 359/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/48, 804/61, 359/702 quickly i.e. 28574964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/48, 804/61, 359/702 is 28574964.

LCM(594/48, 804/61, 359/702) = 28574964

LCM of 594/48, 804/61, 359/702

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 594/48,804/61,359/702

Given numbers are 594/48,804/61,359/702

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 594,804,359

Least Common Multiple of Numerators i.e. LCM of 594,804,359 is 28574964.

GCF of Denominators means GCF of 48,61,702 as per the given fractions.

GCF of 48,61,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,804,359

LCM of Fractions 594/48,804/61,359/702 is 28574964

2 594, 804, 359
3 297, 402, 359
99, 134, 359

∴ So the LCM of the given numbers is 2 x 3 x 99 x 134 x 359 = 28574964

Least Common Multiple of 594,804,359 with GCF Formula

Least Common Multiple of 594,804,359 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 594,804,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,804,359) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(594,804,359) x common factors =1 x 6 = 6

LCM(594,804,359) = ( 594 × 804 × 359 ) / 6

LCM(594,804,359) = 171449784 / 6

LCM(594,804,359) = 28574964


Lets's calculate GCF of 48,61,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28574964/1

Therefore the LCM of Fractions 594/48,804/61,359/702 is 28574964

Greatest Common Factor of 48,61,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,61,702 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 48,61,702 . The biggest common factor number is the GCF number.
So the greatest common factor 48,61,702 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 594/48, 804/61, 359/702

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 594/48, 804/61, 359/702?

Answer: LCM of Numerators as per given numbers 594/48, 804/61, 359/702 is

LCM of Numerators i.e. for 594,804,359 is 28574964

GCF of denominators i.e. for 48,61,702 is 1.

Thus, LCM of Fractions is 28574964.Finally, LCM of Fractions for 594/48, 804/61, 359/702 is 28574964.