Least Common Multiple of 334/40, 682/42, 681/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/40, 682/42, 681/980 quickly i.e. 38780907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/40, 682/42, 681/980 is 38780907.

LCM(334/40, 682/42, 681/980) = 38780907

LCM of 334/40, 682/42, 681/980

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 334/40,682/42,681/980

Given numbers are 334/40,682/42,681/980

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 334,682,681

Least Common Multiple of Numerators i.e. LCM of 334,682,681 is 77561814.

GCF of Denominators means GCF of 40,42,980 as per the given fractions.

GCF of 40,42,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,682,681

LCM of Fractions 334/40,682/42,681/980 is 38780907

2 334, 682, 681
167, 341, 681

∴ So the LCM of the given numbers is 2 x 167 x 341 x 681 = 77561814

Least Common Multiple of 334,682,681 with GCF Formula

Least Common Multiple of 334,682,681 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 334,682,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,682,681) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(334,682,681) x common factors =1 x 2 = 2

LCM(334,682,681) = ( 334 × 682 × 681 ) / 2

LCM(334,682,681) = 155123628 / 2

LCM(334,682,681) = 77561814


Lets's calculate GCF of 40,42,980

2 40, 42, 980
20, 21, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77561814/2

Therefore the LCM of Fractions 334/40,682/42,681/980 is 38780907

Greatest Common Factor of 40,42,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,42,980 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 40,42,980 . The biggest common factor number is the GCF number.
So the greatest common factor 40,42,980 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 334/40, 682/42, 681/980

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 334/40, 682/42, 681/980?

Answer: LCM of Numerators as per given numbers 334/40, 682/42, 681/980 is

LCM of Numerators i.e. for 334,682,681 is 77561814

GCF of denominators i.e. for 40,42,980 is 2.

Thus, LCM of Fractions is 38780907.Finally, LCM of Fractions for 334/40, 682/42, 681/980 is 38780907.