Least Common Multiple of 929/146, 671/152, 614/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 929/146, 671/152, 614/663 quickly i.e. 382742426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/146, 671/152, 614/663 is 382742426.

LCM(929/146, 671/152, 614/663) = 382742426

LCM of 929/146, 671/152, 614/663

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 929/146,671/152,614/663

Given numbers are 929/146,671/152,614/663

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 929,671,614

Least Common Multiple of Numerators i.e. LCM of 929,671,614 is 382742426.

GCF of Denominators means GCF of 146,152,663 as per the given fractions.

GCF of 146,152,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,671,614

LCM of Fractions 929/146,671/152,614/663 is 382742426

Given numbers has no common factors except 1. So, there LCM is their product i.e 382742426

Least Common Multiple of 929,671,614 with GCF Formula

Least Common Multiple of 929,671,614 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 929,671,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,671,614) = 1

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

GCF(929,671,614) x common factors =1 x 1 = 1

LCM(929,671,614) = ( 929 × 671 × 614 ) / 1

LCM(929,671,614) = 382742426 / 1

LCM(929,671,614) = 382742426


Lets's calculate GCF of 146,152,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382742426/1

Therefore the LCM of Fractions 929/146,671/152,614/663 is 382742426

Greatest Common Factor of 146,152,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,152,663 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 146,152,663 . The biggest common factor number is the GCF number.
So the greatest common factor 146,152,663 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 929/146, 671/152, 614/663

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 929/146, 671/152, 614/663?

Answer: LCM of Numerators as per given numbers 929/146, 671/152, 614/663 is

LCM of Numerators i.e. for 929,671,614 is 382742426

GCF of denominators i.e. for 146,152,663 is 1.

Thus, LCM of Fractions is 382742426.Finally, LCM of Fractions for 929/146, 671/152, 614/663 is 382742426.