Least Common Multiple of 340/82, 316/76, 248/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 340/82, 316/76, 248/892 quickly i.e. 832660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/82, 316/76, 248/892 is 832660.

LCM(340/82, 316/76, 248/892) = 832660

LCM of 340/82, 316/76, 248/892

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 340/82,316/76,248/892

Given numbers are 340/82,316/76,248/892

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 340,316,248

Least Common Multiple of Numerators i.e. LCM of 340,316,248 is 1665320.

GCF of Denominators means GCF of 82,76,892 as per the given fractions.

GCF of 82,76,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,316,248

LCM of Fractions 340/82,316/76,248/892 is 832660

2 340, 316, 248
2 170, 158, 124
85, 79, 62

∴ So the LCM of the given numbers is 2 x 2 x 85 x 79 x 62 = 1665320

Least Common Multiple of 340,316,248 with GCF Formula

Least Common Multiple of 340,316,248 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 340,316,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,316,248) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(340,316,248) x common factors =4 x 4 = 16

LCM(340,316,248) = ( 340 × 316 × 248 ) / 16

LCM(340,316,248) = 26645120 / 16

LCM(340,316,248) = 1665320


Lets's calculate GCF of 82,76,892

2 82, 76, 892
41, 38, 446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1665320/2

Therefore the LCM of Fractions 340/82,316/76,248/892 is 832660

Greatest Common Factor of 82,76,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,76,892 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 82,76,892 . The biggest common factor number is the GCF number.
So the greatest common factor 82,76,892 is 2.


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Frequently Asked Questions on Fractional LCM of 340/82, 316/76, 248/892

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 340/82, 316/76, 248/892?

Answer: LCM of Numerators as per given numbers 340/82, 316/76, 248/892 is

LCM of Numerators i.e. for 340,316,248 is 1665320

GCF of denominators i.e. for 82,76,892 is 2.

Thus, LCM of Fractions is 832660.Finally, LCM of Fractions for 340/82, 316/76, 248/892 is 832660.