Least Common Multiple of 71/785, 963/130, 106/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/785, 963/130, 106/166 quickly i.e. 7247538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/785, 963/130, 106/166 is 7247538.

LCM(71/785, 963/130, 106/166) = 7247538

LCM of 71/785, 963/130, 106/166

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 71/785,963/130,106/166

Given numbers are 71/785,963/130,106/166

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 71,963,106

Least Common Multiple of Numerators i.e. LCM of 71,963,106 is 7247538.

GCF of Denominators means GCF of 785,130,166 as per the given fractions.

GCF of 785,130,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,963,106

LCM of Fractions 71/785,963/130,106/166 is 7247538

Given numbers has no common factors except 1. So, there LCM is their product i.e 7247538

Least Common Multiple of 71,963,106 with GCF Formula

Least Common Multiple of 71,963,106 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 71,963,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,963,106) = 1

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

GCF(71,963,106) x common factors =1 x 1 = 1

LCM(71,963,106) = ( 71 × 963 × 106 ) / 1

LCM(71,963,106) = 7247538 / 1

LCM(71,963,106) = 7247538


Lets's calculate GCF of 785,130,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7247538/1

Therefore the LCM of Fractions 71/785,963/130,106/166 is 7247538

Greatest Common Factor of 785,130,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,130,166 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 785,130,166 . The biggest common factor number is the GCF number.
So the greatest common factor 785,130,166 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/785, 963/130, 106/166

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 71/785, 963/130, 106/166?

Answer: LCM of Numerators as per given numbers 71/785, 963/130, 106/166 is

LCM of Numerators i.e. for 71,963,106 is 7247538

GCF of denominators i.e. for 785,130,166 is 1.

Thus, LCM of Fractions is 7247538.Finally, LCM of Fractions for 71/785, 963/130, 106/166 is 7247538.