Least Common Multiple of 29/74, 67/26, 998/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/74, 67/26, 998/437 quickly i.e. 1939114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/74, 67/26, 998/437 is 1939114.

LCM(29/74, 67/26, 998/437) = 1939114

LCM of 29/74, 67/26, 998/437

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 29/74,67/26,998/437

Given numbers are 29/74,67/26,998/437

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 29,67,998

Least Common Multiple of Numerators i.e. LCM of 29,67,998 is 1939114.

GCF of Denominators means GCF of 74,26,437 as per the given fractions.

GCF of 74,26,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,67,998

LCM of Fractions 29/74,67/26,998/437 is 1939114

Given numbers has no common factors except 1. So, there LCM is their product i.e 1939114

Least Common Multiple of 29,67,998 with GCF Formula

Least Common Multiple of 29,67,998 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 29,67,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,67,998) = 1

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

GCF(29,67,998) x common factors =1 x 1 = 1

LCM(29,67,998) = ( 29 × 67 × 998 ) / 1

LCM(29,67,998) = 1939114 / 1

LCM(29,67,998) = 1939114


Lets's calculate GCF of 74,26,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1939114/1

Therefore the LCM of Fractions 29/74,67/26,998/437 is 1939114

Greatest Common Factor of 74,26,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,26,437 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 74,26,437 . The biggest common factor number is the GCF number.
So the greatest common factor 74,26,437 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/74, 67/26, 998/437

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 29/74, 67/26, 998/437?

Answer: LCM of Numerators as per given numbers 29/74, 67/26, 998/437 is

LCM of Numerators i.e. for 29,67,998 is 1939114

GCF of denominators i.e. for 74,26,437 is 1.

Thus, LCM of Fractions is 1939114.Finally, LCM of Fractions for 29/74, 67/26, 998/437 is 1939114.