Least Common Multiple of 71/749, 68/921, 599/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/749, 68/921, 599/374 quickly i.e. 2891972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/749, 68/921, 599/374 is 2891972.

LCM(71/749, 68/921, 599/374) = 2891972

LCM of 71/749, 68/921, 599/374

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 71/749,68/921,599/374

Given numbers are 71/749,68/921,599/374

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 71,68,599

Least Common Multiple of Numerators i.e. LCM of 71,68,599 is 2891972.

GCF of Denominators means GCF of 749,921,374 as per the given fractions.

GCF of 749,921,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,68,599

LCM of Fractions 71/749,68/921,599/374 is 2891972

Given numbers has no common factors except 1. So, there LCM is their product i.e 2891972

Least Common Multiple of 71,68,599 with GCF Formula

Least Common Multiple of 71,68,599 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 71,68,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,68,599) = 1

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

GCF(71,68,599) x common factors =1 x 1 = 1

LCM(71,68,599) = ( 71 × 68 × 599 ) / 1

LCM(71,68,599) = 2891972 / 1

LCM(71,68,599) = 2891972


Lets's calculate GCF of 749,921,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2891972/1

Therefore the LCM of Fractions 71/749,68/921,599/374 is 2891972

Greatest Common Factor of 749,921,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,921,374 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 749,921,374 . The biggest common factor number is the GCF number.
So the greatest common factor 749,921,374 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 71/749, 68/921, 599/374

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 71/749, 68/921, 599/374?

Answer: LCM of Numerators as per given numbers 71/749, 68/921, 599/374 is

LCM of Numerators i.e. for 71,68,599 is 2891972

GCF of denominators i.e. for 749,921,374 is 1.

Thus, LCM of Fractions is 2891972.Finally, LCM of Fractions for 71/749, 68/921, 599/374 is 2891972.