Least Common Multiple of 931/68, 804/2074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/68, 804/2074 quickly i.e. 748524/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/68, 804/2074 is 748524/34.

LCM(931/68, 804/2074) = 748524/34

LCM of 931/68, 804/2074

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 931/68,804/2074

Given numbers are 931/68,804/2074

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 931,804

Least Common Multiple of Numerators i.e. LCM of 931,804 is 748524.

GCF of Denominators means GCF of 68,2074 as per the given fractions.

GCF of 68,2074 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,804

LCM of Fractions 931/68,804/2074 is 748524/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 748524

Least Common Multiple of 931,804 with GCF Formula

Least Common Multiple of 931,804 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 931,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,804) = 1

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

GCF(931,804) x common factors =1 x 1 = 1

LCM(931,804) = ( 931 × 804 ) / 1

LCM(931,804) = 748524 / 1

LCM(931,804) = 748524


Lets's calculate GCF of 68,2074

2 68, 2074
17 34, 1037
2, 61

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748524/34

Therefore the LCM of Fractions 931/68,804/2074 is 748524/34

Greatest Common Factor of 68,2074 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2074 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2074

List of positive integer factors of 2074 that divides 2074 without a remainder.

1,2,17,34,61,122,1037,2074

Greatest Common Factor

We found the factors 68,2074 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2074 is 34.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 931/68, 804/2074

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 931/68, 804/2074?

Answer: LCM of Numerators as per given numbers 931/68, 804/2074 is

LCM of Numerators i.e. for 931,804 is 748524

GCF of denominators i.e. for 68,2074 is 34.

Thus, LCM of Fractions is 748524/34.Finally, LCM of Fractions for 931/68, 804/2074 is 748524/34.