Least Common Multiple of 61/775, 33/763, 668/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/775, 33/763, 668/828 quickly i.e. 1344684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/775, 33/763, 668/828 is 1344684.

LCM(61/775, 33/763, 668/828) = 1344684

LCM of 61/775, 33/763, 668/828

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 61/775,33/763,668/828

Given numbers are 61/775,33/763,668/828

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 61,33,668

Least Common Multiple of Numerators i.e. LCM of 61,33,668 is 1344684.

GCF of Denominators means GCF of 775,763,828 as per the given fractions.

GCF of 775,763,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,33,668

LCM of Fractions 61/775,33/763,668/828 is 1344684

Given numbers has no common factors except 1. So, there LCM is their product i.e 1344684

Least Common Multiple of 61,33,668 with GCF Formula

Least Common Multiple of 61,33,668 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 61,33,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,33,668) = 1

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

GCF(61,33,668) x common factors =1 x 1 = 1

LCM(61,33,668) = ( 61 × 33 × 668 ) / 1

LCM(61,33,668) = 1344684 / 1

LCM(61,33,668) = 1344684


Lets's calculate GCF of 775,763,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344684/1

Therefore the LCM of Fractions 61/775,33/763,668/828 is 1344684

Greatest Common Factor of 775,763,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,763,828 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 775,763,828 . The biggest common factor number is the GCF number.
So the greatest common factor 775,763,828 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/775, 33/763, 668/828

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 61/775, 33/763, 668/828?

Answer: LCM of Numerators as per given numbers 61/775, 33/763, 668/828 is

LCM of Numerators i.e. for 61,33,668 is 1344684

GCF of denominators i.e. for 775,763,828 is 1.

Thus, LCM of Fractions is 1344684.Finally, LCM of Fractions for 61/775, 33/763, 668/828 is 1344684.