Least Common Multiple of 552/746, 368/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 552/746, 368/712 quickly i.e. 552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/746, 368/712 is 552.

LCM(552/746, 368/712) = 552

LCM of 552/746, 368/712

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 552/746,368/712

Given numbers are 552/746,368/712

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 552,368

Least Common Multiple of Numerators i.e. LCM of 552,368 is 1104.

GCF of Denominators means GCF of 746,712 as per the given fractions.

GCF of 746,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,368

LCM of Fractions 552/746,368/712 is 552

2 552, 368
2 276, 184
2 138, 92
23 69, 46
3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 3 x 2 = 1104

Least Common Multiple of 552,368 with GCF Formula

Least Common Multiple of 552,368 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 552,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,368) = 184

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

GCF(552,368) x common factors =184 x 1 = 184

LCM(552,368) = ( 552 × 368 ) / 184

LCM(552,368) = 203136 / 184

LCM(552,368) = 1104


Lets's calculate GCF of 746,712

2 746, 712
373, 356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1104/2

Therefore the LCM of Fractions 552/746,368/712 is 552

Greatest Common Factor of 746,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,712 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 746,712 . The biggest common factor number is the GCF number.
So the greatest common factor 746,712 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 552/746, 368/712

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 552/746, 368/712?

Answer: LCM of Numerators as per given numbers 552/746, 368/712 is

LCM of Numerators i.e. for 552,368 is 1104

GCF of denominators i.e. for 746,712 is 2.

Thus, LCM of Fractions is 552.Finally, LCM of Fractions for 552/746, 368/712 is 552.