Least Common Multiple of 1710/712, 9050/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1710/712, 9050/138 quickly i.e. 773775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1710/712, 9050/138 is 773775.

LCM(1710/712, 9050/138) = 773775

LCM of 1710/712, 9050/138

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 1710/712,9050/138

Given numbers are 1710/712,9050/138

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 1710,9050

Least Common Multiple of Numerators i.e. LCM of 1710,9050 is 1547550.

GCF of Denominators means GCF of 712,138 as per the given fractions.

GCF of 712,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1710,9050

LCM of Fractions 1710/712,9050/138 is 773775

2 1710, 9050
5 855, 4525
171, 905

∴ So the LCM of the given numbers is 2 x 5 x 171 x 905 = 1547550

Least Common Multiple of 1710,9050 with GCF Formula

Least Common Multiple of 1710,9050 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 1710,9050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1710,9050) = 10

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

GCF(1710,9050) x common factors =10 x 1 = 10

LCM(1710,9050) = ( 1710 × 9050 ) / 10

LCM(1710,9050) = 15475500 / 10

LCM(1710,9050) = 1547550


Lets's calculate GCF of 712,138

2 712, 138
356, 69

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547550/2

Therefore the LCM of Fractions 1710/712,9050/138 is 773775

Greatest Common Factor of 712,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,138 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 712,138 . The biggest common factor number is the GCF number.
So the greatest common factor 712,138 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1710/712, 9050/138

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 1710/712, 9050/138?

Answer: LCM of Numerators as per given numbers 1710/712, 9050/138 is

LCM of Numerators i.e. for 1710,9050 is 1547550

GCF of denominators i.e. for 712,138 is 2.

Thus, LCM of Fractions is 773775.Finally, LCM of Fractions for 1710/712, 9050/138 is 773775.