Least Common Multiple of 169/76, 718/74, 769/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/76, 718/74, 769/740 quickly i.e. 46655999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/76, 718/74, 769/740 is 46655999.

LCM(169/76, 718/74, 769/740) = 46655999

LCM of 169/76, 718/74, 769/740

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 169/76,718/74,769/740

Given numbers are 169/76,718/74,769/740

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 169,718,769

Least Common Multiple of Numerators i.e. LCM of 169,718,769 is 93311998.

GCF of Denominators means GCF of 76,74,740 as per the given fractions.

GCF of 76,74,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,718,769

LCM of Fractions 169/76,718/74,769/740 is 46655999

Given numbers has no common factors except 1. So, there LCM is their product i.e 93311998

Least Common Multiple of 169,718,769 with GCF Formula

Least Common Multiple of 169,718,769 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 169,718,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,718,769) = 1

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

GCF(169,718,769) x common factors =1 x 1 = 1

LCM(169,718,769) = ( 169 × 718 × 769 ) / 1

LCM(169,718,769) = 93311998 / 1

LCM(169,718,769) = 93311998


Lets's calculate GCF of 76,74,740

2 76, 74, 740
38, 37, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93311998/2

Therefore the LCM of Fractions 169/76,718/74,769/740 is 46655999

Greatest Common Factor of 76,74,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,74,740 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 74

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

1,2,37,74

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 76,74,740 . The biggest common factor number is the GCF number.
So the greatest common factor 76,74,740 is 2.


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 169/76, 718/74, 769/740

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 169/76, 718/74, 769/740?

Answer: LCM of Numerators as per given numbers 169/76, 718/74, 769/740 is

LCM of Numerators i.e. for 169,718,769 is 93311998

GCF of denominators i.e. for 76,74,740 is 2.

Thus, LCM of Fractions is 46655999.Finally, LCM of Fractions for 169/76, 718/74, 769/740 is 46655999.