Least Common Multiple of 661/61, 908/86, 140/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 661/61, 908/86, 140/991 quickly i.e. 21006580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/61, 908/86, 140/991 is 21006580.

LCM(661/61, 908/86, 140/991) = 21006580

LCM of 661/61, 908/86, 140/991

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 661/61,908/86,140/991

Given numbers are 661/61,908/86,140/991

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 661,908,140

Least Common Multiple of Numerators i.e. LCM of 661,908,140 is 21006580.

GCF of Denominators means GCF of 61,86,991 as per the given fractions.

GCF of 61,86,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,908,140

LCM of Fractions 661/61,908/86,140/991 is 21006580

2 661, 908, 140
2 661, 454, 70
661, 227, 35

∴ So the LCM of the given numbers is 2 x 2 x 661 x 227 x 35 = 21006580

Least Common Multiple of 661,908,140 with GCF Formula

Least Common Multiple of 661,908,140 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 661,908,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,908,140) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(661,908,140) x common factors =1 x 4 = 4

LCM(661,908,140) = ( 661 × 908 × 140 ) / 4

LCM(661,908,140) = 84026320 / 4

LCM(661,908,140) = 21006580


Lets's calculate GCF of 61,86,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21006580/1

Therefore the LCM of Fractions 661/61,908/86,140/991 is 21006580

Greatest Common Factor of 61,86,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,86,991 By Matching Biggest Common Factor Method

Factors of 61

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

1,61

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 61,86,991 . The biggest common factor number is the GCF number.
So the greatest common factor 61,86,991 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 661/61, 908/86, 140/991

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 661/61, 908/86, 140/991?

Answer: LCM of Numerators as per given numbers 661/61, 908/86, 140/991 is

LCM of Numerators i.e. for 661,908,140 is 21006580

GCF of denominators i.e. for 61,86,991 is 1.

Thus, LCM of Fractions is 21006580.Finally, LCM of Fractions for 661/61, 908/86, 140/991 is 21006580.