Least Common Multiple of 61/878, 19/534, 440/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/878, 19/534, 440/999 quickly i.e. 509960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/878, 19/534, 440/999 is 509960.

LCM(61/878, 19/534, 440/999) = 509960

LCM of 61/878, 19/534, 440/999

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 61/878,19/534,440/999

Given numbers are 61/878,19/534,440/999

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 61,19,440

Least Common Multiple of Numerators i.e. LCM of 61,19,440 is 509960.

GCF of Denominators means GCF of 878,534,999 as per the given fractions.

GCF of 878,534,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,19,440

LCM of Fractions 61/878,19/534,440/999 is 509960

Given numbers has no common factors except 1. So, there LCM is their product i.e 509960

Least Common Multiple of 61,19,440 with GCF Formula

Least Common Multiple of 61,19,440 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 61,19,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,19,440) = 1

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

GCF(61,19,440) x common factors =1 x 1 = 1

LCM(61,19,440) = ( 61 × 19 × 440 ) / 1

LCM(61,19,440) = 509960 / 1

LCM(61,19,440) = 509960


Lets's calculate GCF of 878,534,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509960/1

Therefore the LCM of Fractions 61/878,19/534,440/999 is 509960

Greatest Common Factor of 878,534,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,534,999 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 878,534,999 . The biggest common factor number is the GCF number.
So the greatest common factor 878,534,999 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/878, 19/534, 440/999

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 61/878, 19/534, 440/999?

Answer: LCM of Numerators as per given numbers 61/878, 19/534, 440/999 is

LCM of Numerators i.e. for 61,19,440 is 509960

GCF of denominators i.e. for 878,534,999 is 1.

Thus, LCM of Fractions is 509960.Finally, LCM of Fractions for 61/878, 19/534, 440/999 is 509960.