Least Common Multiple of 930/982, 426/904, 893/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 930/982, 426/904, 893/708 quickly i.e. 29482395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/982, 426/904, 893/708 is 29482395.

LCM(930/982, 426/904, 893/708) = 29482395

LCM of 930/982, 426/904, 893/708

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 930/982,426/904,893/708

Given numbers are 930/982,426/904,893/708

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 930,426,893

Least Common Multiple of Numerators i.e. LCM of 930,426,893 is 58964790.

GCF of Denominators means GCF of 982,904,708 as per the given fractions.

GCF of 982,904,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,426,893

LCM of Fractions 930/982,426/904,893/708 is 29482395

2 930, 426, 893
3 465, 213, 893
155, 71, 893

∴ So the LCM of the given numbers is 2 x 3 x 155 x 71 x 893 = 58964790

Least Common Multiple of 930,426,893 with GCF Formula

Least Common Multiple of 930,426,893 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 930,426,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,426,893) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(930,426,893) x common factors =1 x 6 = 6

LCM(930,426,893) = ( 930 × 426 × 893 ) / 6

LCM(930,426,893) = 353788740 / 6

LCM(930,426,893) = 58964790


Lets's calculate GCF of 982,904,708

2 982, 904, 708
491, 452, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58964790/2

Therefore the LCM of Fractions 930/982,426/904,893/708 is 29482395

Greatest Common Factor of 982,904,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,904,708 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 982,904,708 . The biggest common factor number is the GCF number.
So the greatest common factor 982,904,708 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 930/982, 426/904, 893/708

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 930/982, 426/904, 893/708?

Answer: LCM of Numerators as per given numbers 930/982, 426/904, 893/708 is

LCM of Numerators i.e. for 930,426,893 is 58964790

GCF of denominators i.e. for 982,904,708 is 2.

Thus, LCM of Fractions is 29482395.Finally, LCM of Fractions for 930/982, 426/904, 893/708 is 29482395.