Least Common Multiple of 867/617, 577/248, 332/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 867/617, 577/248, 332/861 quickly i.e. 166085988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/617, 577/248, 332/861 is 166085988.

LCM(867/617, 577/248, 332/861) = 166085988

LCM of 867/617, 577/248, 332/861

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 867/617,577/248,332/861

Given numbers are 867/617,577/248,332/861

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 867,577,332

Least Common Multiple of Numerators i.e. LCM of 867,577,332 is 166085988.

GCF of Denominators means GCF of 617,248,861 as per the given fractions.

GCF of 617,248,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,577,332

LCM of Fractions 867/617,577/248,332/861 is 166085988

Given numbers has no common factors except 1. So, there LCM is their product i.e 166085988

Least Common Multiple of 867,577,332 with GCF Formula

Least Common Multiple of 867,577,332 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 867,577,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,577,332) = 1

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

GCF(867,577,332) x common factors =1 x 1 = 1

LCM(867,577,332) = ( 867 × 577 × 332 ) / 1

LCM(867,577,332) = 166085988 / 1

LCM(867,577,332) = 166085988


Lets's calculate GCF of 617,248,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166085988/1

Therefore the LCM of Fractions 867/617,577/248,332/861 is 166085988

Greatest Common Factor of 617,248,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,248,861 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 617,248,861 . The biggest common factor number is the GCF number.
So the greatest common factor 617,248,861 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 867/617, 577/248, 332/861

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 867/617, 577/248, 332/861?

Answer: LCM of Numerators as per given numbers 867/617, 577/248, 332/861 is

LCM of Numerators i.e. for 867,577,332 is 166085988

GCF of denominators i.e. for 617,248,861 is 1.

Thus, LCM of Fractions is 166085988.Finally, LCM of Fractions for 867/617, 577/248, 332/861 is 166085988.