Least Common Multiple of 56/741, 67/377, 621/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/741, 67/377, 621/492 quickly i.e. 2329992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/741, 67/377, 621/492 is 2329992.

LCM(56/741, 67/377, 621/492) = 2329992

LCM of 56/741, 67/377, 621/492

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 56/741,67/377,621/492

Given numbers are 56/741,67/377,621/492

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 56,67,621

Least Common Multiple of Numerators i.e. LCM of 56,67,621 is 2329992.

GCF of Denominators means GCF of 741,377,492 as per the given fractions.

GCF of 741,377,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,67,621

LCM of Fractions 56/741,67/377,621/492 is 2329992

Given numbers has no common factors except 1. So, there LCM is their product i.e 2329992

Least Common Multiple of 56,67,621 with GCF Formula

Least Common Multiple of 56,67,621 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 56,67,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,67,621) = 1

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

GCF(56,67,621) x common factors =1 x 1 = 1

LCM(56,67,621) = ( 56 × 67 × 621 ) / 1

LCM(56,67,621) = 2329992 / 1

LCM(56,67,621) = 2329992


Lets's calculate GCF of 741,377,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2329992/1

Therefore the LCM of Fractions 56/741,67/377,621/492 is 2329992

Greatest Common Factor of 741,377,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,377,492 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 741,377,492 . The biggest common factor number is the GCF number.
So the greatest common factor 741,377,492 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/741, 67/377, 621/492

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 56/741, 67/377, 621/492?

Answer: LCM of Numerators as per given numbers 56/741, 67/377, 621/492 is

LCM of Numerators i.e. for 56,67,621 is 2329992

GCF of denominators i.e. for 741,377,492 is 1.

Thus, LCM of Fractions is 2329992.Finally, LCM of Fractions for 56/741, 67/377, 621/492 is 2329992.