Least Common Multiple of 84/48, 46/67, 84/94, 42/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/48, 46/67, 84/94, 42/436 quickly i.e. 1932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/48, 46/67, 84/94, 42/436 is 1932.

LCM(84/48, 46/67, 84/94, 42/436) = 1932

LCM of 84/48, 46/67, 84/94, 42/436

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 84/48,46/67,84/94,42/436

Given numbers are 84/48,46/67,84/94,42/436

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 84,46,84,42

Least Common Multiple of Numerators i.e. LCM of 84,46,84,42 is 1932.

GCF of Denominators means GCF of 48,67,94,436 as per the given fractions.

GCF of 48,67,94,436 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,46,84,42

LCM of Fractions 84/48,46/67,84/94,42/436 is 1932

2 84, 46, 84, 42
2 42, 23, 42, 21
3 21, 23, 21, 21
7 7, 23, 7, 7
1, 23, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 23 x 1 x 1 = 1932

Least Common Multiple of 84,46,84,42 with GCF Formula

Least Common Multiple of 84,46,84,42 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 84,46,84,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,46,84,42) = 2

common factors(in case of two or more numbers have common factors) = 3528

GCF(84,46,84,42) x common factors =2 x 3528 = 7056

LCM(84,46,84,42) = ( 84 × 46 × 84 × 42 ) / 7056

LCM(84,46,84,42) = 13632192 / 7056

LCM(84,46,84,42) = 1932


Lets's calculate GCF of 48,67,94,436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1932/1

Therefore the LCM of Fractions 84/48,46/67,84/94,42/436 is 1932

Greatest Common Factor of 48,67,94,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,67,94,436 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 48,67,94,436 . The biggest common factor number is the GCF number.
So the greatest common factor 48,67,94,436 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/48, 46/67, 84/94, 42/436

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 84/48, 46/67, 84/94, 42/436?

Answer: LCM of Numerators as per given numbers 84/48, 46/67, 84/94, 42/436 is

LCM of Numerators i.e. for 84,46,84,42 is 1932

GCF of denominators i.e. for 48,67,94,436 is 1.

Thus, LCM of Fractions is 1932.Finally, LCM of Fractions for 84/48, 46/67, 84/94, 42/436 is 1932.