Least Common Multiple of 29/124, 190/254, 765/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/124, 190/254, 765/106 quickly i.e. 421515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/124, 190/254, 765/106 is 421515.

LCM(29/124, 190/254, 765/106) = 421515

LCM of 29/124, 190/254, 765/106

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 29/124,190/254,765/106

Given numbers are 29/124,190/254,765/106

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 29,190,765

Least Common Multiple of Numerators i.e. LCM of 29,190,765 is 843030.

GCF of Denominators means GCF of 124,254,106 as per the given fractions.

GCF of 124,254,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,190,765

LCM of Fractions 29/124,190/254,765/106 is 421515

5 29, 190, 765
29, 38, 153

∴ So the LCM of the given numbers is 5 x 29 x 38 x 153 = 843030

Least Common Multiple of 29,190,765 with GCF Formula

Least Common Multiple of 29,190,765 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 29,190,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,190,765) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,190,765) x common factors =1 x 5 = 5

LCM(29,190,765) = ( 29 × 190 × 765 ) / 5

LCM(29,190,765) = 4215150 / 5

LCM(29,190,765) = 843030


Lets's calculate GCF of 124,254,106

2 124, 254, 106
62, 127, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 843030/2

Therefore the LCM of Fractions 29/124,190/254,765/106 is 421515

Greatest Common Factor of 124,254,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,254,106 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 124,254,106 . The biggest common factor number is the GCF number.
So the greatest common factor 124,254,106 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 29/124, 190/254, 765/106

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 29/124, 190/254, 765/106?

Answer: LCM of Numerators as per given numbers 29/124, 190/254, 765/106 is

LCM of Numerators i.e. for 29,190,765 is 843030

GCF of denominators i.e. for 124,254,106 is 2.

Thus, LCM of Fractions is 421515.Finally, LCM of Fractions for 29/124, 190/254, 765/106 is 421515.