Least Common Multiple of 61/442, 436/302, 140/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/442, 436/302, 140/438 quickly i.e. 465430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/442, 436/302, 140/438 is 465430.

LCM(61/442, 436/302, 140/438) = 465430

LCM of 61/442, 436/302, 140/438

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 61/442,436/302,140/438

Given numbers are 61/442,436/302,140/438

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 61,436,140

Least Common Multiple of Numerators i.e. LCM of 61,436,140 is 930860.

GCF of Denominators means GCF of 442,302,438 as per the given fractions.

GCF of 442,302,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,436,140

LCM of Fractions 61/442,436/302,140/438 is 465430

2 61, 436, 140
2 61, 218, 70
61, 109, 35

∴ So the LCM of the given numbers is 2 x 2 x 61 x 109 x 35 = 930860

Least Common Multiple of 61,436,140 with GCF Formula

Least Common Multiple of 61,436,140 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 61,436,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,436,140) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,436,140) x common factors =1 x 4 = 4

LCM(61,436,140) = ( 61 × 436 × 140 ) / 4

LCM(61,436,140) = 3723440 / 4

LCM(61,436,140) = 930860


Lets's calculate GCF of 442,302,438

2 442, 302, 438
221, 151, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930860/2

Therefore the LCM of Fractions 61/442,436/302,140/438 is 465430

Greatest Common Factor of 442,302,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,302,438 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 442,302,438 . The biggest common factor number is the GCF number.
So the greatest common factor 442,302,438 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 61/442, 436/302, 140/438

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 61/442, 436/302, 140/438?

Answer: LCM of Numerators as per given numbers 61/442, 436/302, 140/438 is

LCM of Numerators i.e. for 61,436,140 is 930860

GCF of denominators i.e. for 442,302,438 is 2.

Thus, LCM of Fractions is 465430.Finally, LCM of Fractions for 61/442, 436/302, 140/438 is 465430.