Least Common Multiple of 7894/85, 1674/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7894/85, 1674/985 quickly i.e. 6607278/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7894/85, 1674/985 is 6607278/5.

LCM(7894/85, 1674/985) = 6607278/5

LCM of 7894/85, 1674/985

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 7894/85,1674/985

Given numbers are 7894/85,1674/985

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 7894,1674

Least Common Multiple of Numerators i.e. LCM of 7894,1674 is 6607278.

GCF of Denominators means GCF of 85,985 as per the given fractions.

GCF of 85,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7894,1674

LCM of Fractions 7894/85,1674/985 is 6607278/5

2 7894, 1674
3947, 837

∴ So the LCM of the given numbers is 2 x 3947 x 837 = 6607278

Least Common Multiple of 7894,1674 with GCF Formula

Least Common Multiple of 7894,1674 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 7894,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7894,1674) = 2

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

GCF(7894,1674) x common factors =2 x 1 = 2

LCM(7894,1674) = ( 7894 × 1674 ) / 2

LCM(7894,1674) = 13214556 / 2

LCM(7894,1674) = 6607278


Lets's calculate GCF of 85,985

5 85, 985
17, 197

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6607278/5

Therefore the LCM of Fractions 7894/85,1674/985 is 6607278/5

Greatest Common Factor of 85,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,985 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 85,985 . The biggest common factor number is the GCF number.
So the greatest common factor 85,985 is 5.


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 7894/85, 1674/985

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 7894/85, 1674/985?

Answer: LCM of Numerators as per given numbers 7894/85, 1674/985 is

LCM of Numerators i.e. for 7894,1674 is 6607278

GCF of denominators i.e. for 85,985 is 5.

Thus, LCM of Fractions is 6607278/5.Finally, LCM of Fractions for 7894/85, 1674/985 is 6607278/5.