Least Common Multiple of 106/77, 740/3131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/77, 740/3131 quickly i.e. 39220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/77, 740/3131 is 39220.

LCM(106/77, 740/3131) = 39220

LCM of 106/77, 740/3131

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 106/77,740/3131

Given numbers are 106/77,740/3131

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 106,740

Least Common Multiple of Numerators i.e. LCM of 106,740 is 39220.

GCF of Denominators means GCF of 77,3131 as per the given fractions.

GCF of 77,3131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,740

LCM of Fractions 106/77,740/3131 is 39220

2 106, 740
53, 370

∴ So the LCM of the given numbers is 2 x 53 x 370 = 39220

Least Common Multiple of 106,740 with GCF Formula

Least Common Multiple of 106,740 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 106,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,740) = 2

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

GCF(106,740) x common factors =2 x 1 = 2

LCM(106,740) = ( 106 × 740 ) / 2

LCM(106,740) = 78440 / 2

LCM(106,740) = 39220


Lets's calculate GCF of 77,3131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39220/1

Therefore the LCM of Fractions 106/77,740/3131 is 39220

Greatest Common Factor of 77,3131 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,3131 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 3131

List of positive integer factors of 3131 that divides 3131 without a remainder.

1,31,101,3131

Greatest Common Factor

We found the factors 77,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 77,3131 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 106/77, 740/3131

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 106/77, 740/3131?

Answer: LCM of Numerators as per given numbers 106/77, 740/3131 is

LCM of Numerators i.e. for 106,740 is 39220

GCF of denominators i.e. for 77,3131 is 1.

Thus, LCM of Fractions is 39220.Finally, LCM of Fractions for 106/77, 740/3131 is 39220.