Least Common Multiple of 10/92, 83/92, 89/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/92, 83/92, 89/958 quickly i.e. 36935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/92, 83/92, 89/958 is 36935.

LCM(10/92, 83/92, 89/958) = 36935

LCM of 10/92, 83/92, 89/958

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 10/92,83/92,89/958

Given numbers are 10/92,83/92,89/958

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 10,83,89

Least Common Multiple of Numerators i.e. LCM of 10,83,89 is 73870.

GCF of Denominators means GCF of 92,92,958 as per the given fractions.

GCF of 92,92,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,83,89

LCM of Fractions 10/92,83/92,89/958 is 36935

Given numbers has no common factors except 1. So, there LCM is their product i.e 73870

Least Common Multiple of 10,83,89 with GCF Formula

Least Common Multiple of 10,83,89 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 10,83,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,83,89) = 1

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

GCF(10,83,89) x common factors =1 x 1 = 1

LCM(10,83,89) = ( 10 × 83 × 89 ) / 1

LCM(10,83,89) = 73870 / 1

LCM(10,83,89) = 73870


Lets's calculate GCF of 92,92,958

2 92, 92, 958
46, 46, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73870/2

Therefore the LCM of Fractions 10/92,83/92,89/958 is 36935

Greatest Common Factor of 92,92,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,92,958 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 92,92,958 . The biggest common factor number is the GCF number.
So the greatest common factor 92,92,958 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/92, 83/92, 89/958

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 10/92, 83/92, 89/958?

Answer: LCM of Numerators as per given numbers 10/92, 83/92, 89/958 is

LCM of Numerators i.e. for 10,83,89 is 73870

GCF of denominators i.e. for 92,92,958 is 2.

Thus, LCM of Fractions is 36935.Finally, LCM of Fractions for 10/92, 83/92, 89/958 is 36935.