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Least Common Multiple of 378/52, 525/442

Know Least Common Multiple of fractions 378/52, 525/442 quickly i.e. 9450/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/52, 525/442 is 9450/26.

LCM(378/52, 525/442) = 9450/26

LCM of 378/52, 525/442

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 378/52,525/442

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 378,525

Least Common Multiple of Numerators i.e. LCM of 378,525 is 9450.

GCF of Denominators means GCF of 52,442 as per the given fractions.

GCF of 52,442 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,525

Least Common Multiple (LCM) of 378,525 By Common Division

3 378, 525
7 126, 175
18, 25

∴ So the LCM of the given numbers is 3 x 7 x 18 x 25 = 9450

Least Common Multiple of 378,525 with GCF Formula

Least Common Multiple of 378,525 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 378,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,525) = 21

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

GCF(378,525) x common factors =21 x 1 = 21

LCM(378,525) = ( 378 × 525 ) / 21

LCM(378,525) = 198450 / 21

LCM(378,525) = 9450


Lets's calculate GCF of 52,442

Greatest Common Factor (GCF) of 52,442 By Common Division

2 52, 442
13 26, 221
2, 17

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9450/26

Therefore the LCM of Fractions 378/52,525/442 is 9450/26

Greatest Common Factor of 52,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,442 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 442

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

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

Greatest Common Factor

We found the factors 52,442 . The biggest common factor number is the GCF number.
So the greatest common factor 52,442 is 26.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 378/52, 525/442

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 378/52, 525/442?

Answer: LCM of Numerators as per given numbers 378/52, 525/442 is

LCM of Numerators i.e. for 378,525 is 9450

GCF of denominators i.e. for 52,442 is 26.

Thus, LCM of Fractions is 9450/26.Finally, LCM of Fractions for 378/52, 525/442 is 9450/26.