Least Common Multiple of 76/742, 7119/7170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/742, 7119/7170 quickly i.e. 270522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/742, 7119/7170 is 270522.

LCM(76/742, 7119/7170) = 270522

LCM of 76/742, 7119/7170

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 76/742,7119/7170

Given numbers are 76/742,7119/7170

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 76,7119

Least Common Multiple of Numerators i.e. LCM of 76,7119 is 541044.

GCF of Denominators means GCF of 742,7170 as per the given fractions.

GCF of 742,7170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,7119

LCM of Fractions 76/742,7119/7170 is 270522

Given numbers has no common factors except 1. So, there LCM is their product i.e 541044

Least Common Multiple of 76,7119 with GCF Formula

Least Common Multiple of 76,7119 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 76,7119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,7119) = 1

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

GCF(76,7119) x common factors =1 x 1 = 1

LCM(76,7119) = ( 76 × 7119 ) / 1

LCM(76,7119) = 541044 / 1

LCM(76,7119) = 541044


Lets's calculate GCF of 742,7170

2 742, 7170
371, 3585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541044/2

Therefore the LCM of Fractions 76/742,7119/7170 is 270522

Greatest Common Factor of 742,7170 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,7170 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Greatest Common Factor

We found the factors 742,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 742,7170 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 76/742, 7119/7170

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 76/742, 7119/7170?

Answer: LCM of Numerators as per given numbers 76/742, 7119/7170 is

LCM of Numerators i.e. for 76,7119 is 541044

GCF of denominators i.e. for 742,7170 is 2.

Thus, LCM of Fractions is 270522.Finally, LCM of Fractions for 76/742, 7119/7170 is 270522.