Least Common Multiple of 145/34, 220/42, 618/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 145/34, 220/42, 618/129 quickly i.e. 1971420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/34, 220/42, 618/129 is 1971420.

LCM(145/34, 220/42, 618/129) = 1971420

LCM of 145/34, 220/42, 618/129

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 145/34,220/42,618/129

Given numbers are 145/34,220/42,618/129

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 145,220,618

Least Common Multiple of Numerators i.e. LCM of 145,220,618 is 1971420.

GCF of Denominators means GCF of 34,42,129 as per the given fractions.

GCF of 34,42,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,220,618

LCM of Fractions 145/34,220/42,618/129 is 1971420

2 145, 220, 618
5 145, 110, 309
29, 22, 309

∴ So the LCM of the given numbers is 2 x 5 x 29 x 22 x 309 = 1971420

Least Common Multiple of 145,220,618 with GCF Formula

Least Common Multiple of 145,220,618 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 145,220,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,220,618) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(145,220,618) x common factors =1 x 10 = 10

LCM(145,220,618) = ( 145 × 220 × 618 ) / 10

LCM(145,220,618) = 19714200 / 10

LCM(145,220,618) = 1971420


Lets's calculate GCF of 34,42,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1971420/1

Therefore the LCM of Fractions 145/34,220/42,618/129 is 1971420

Greatest Common Factor of 34,42,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,42,129 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 34,42,129 . The biggest common factor number is the GCF number.
So the greatest common factor 34,42,129 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 145/34, 220/42, 618/129

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 145/34, 220/42, 618/129?

Answer: LCM of Numerators as per given numbers 145/34, 220/42, 618/129 is

LCM of Numerators i.e. for 145,220,618 is 1971420

GCF of denominators i.e. for 34,42,129 is 1.

Thus, LCM of Fractions is 1971420.Finally, LCM of Fractions for 145/34, 220/42, 618/129 is 1971420.