Least Common Multiple of 73/67, 544/98, 839/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/67, 544/98, 839/748 quickly i.e. 33318368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/67, 544/98, 839/748 is 33318368.

LCM(73/67, 544/98, 839/748) = 33318368

LCM of 73/67, 544/98, 839/748

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 73/67,544/98,839/748

Given numbers are 73/67,544/98,839/748

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 73,544,839

Least Common Multiple of Numerators i.e. LCM of 73,544,839 is 33318368.

GCF of Denominators means GCF of 67,98,748 as per the given fractions.

GCF of 67,98,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,544,839

LCM of Fractions 73/67,544/98,839/748 is 33318368

Given numbers has no common factors except 1. So, there LCM is their product i.e 33318368

Least Common Multiple of 73,544,839 with GCF Formula

Least Common Multiple of 73,544,839 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 73,544,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,544,839) = 1

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

GCF(73,544,839) x common factors =1 x 1 = 1

LCM(73,544,839) = ( 73 × 544 × 839 ) / 1

LCM(73,544,839) = 33318368 / 1

LCM(73,544,839) = 33318368


Lets's calculate GCF of 67,98,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33318368/1

Therefore the LCM of Fractions 73/67,544/98,839/748 is 33318368

Greatest Common Factor of 67,98,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,98,748 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 67,98,748 . The biggest common factor number is the GCF number.
So the greatest common factor 67,98,748 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/67, 544/98, 839/748

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 73/67, 544/98, 839/748?

Answer: LCM of Numerators as per given numbers 73/67, 544/98, 839/748 is

LCM of Numerators i.e. for 73,544,839 is 33318368

GCF of denominators i.e. for 67,98,748 is 1.

Thus, LCM of Fractions is 33318368.Finally, LCM of Fractions for 73/67, 544/98, 839/748 is 33318368.