Least Common Multiple of 85/475, 7850/1649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/475, 7850/1649 quickly i.e. 133450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/475, 7850/1649 is 133450.

LCM(85/475, 7850/1649) = 133450

LCM of 85/475, 7850/1649

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 85/475,7850/1649

Given numbers are 85/475,7850/1649

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 85,7850

Least Common Multiple of Numerators i.e. LCM of 85,7850 is 133450.

GCF of Denominators means GCF of 475,1649 as per the given fractions.

GCF of 475,1649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,7850

LCM of Fractions 85/475,7850/1649 is 133450

5 85, 7850
17, 1570

∴ So the LCM of the given numbers is 5 x 17 x 1570 = 133450

Least Common Multiple of 85,7850 with GCF Formula

Least Common Multiple of 85,7850 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 85,7850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,7850) = 5

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

GCF(85,7850) x common factors =5 x 1 = 5

LCM(85,7850) = ( 85 × 7850 ) / 5

LCM(85,7850) = 667250 / 5

LCM(85,7850) = 133450


Lets's calculate GCF of 475,1649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133450/1

Therefore the LCM of Fractions 85/475,7850/1649 is 133450

Greatest Common Factor of 475,1649 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,1649 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

Greatest Common Factor

We found the factors 475,1649 . The biggest common factor number is the GCF number.
So the greatest common factor 475,1649 is 1.


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 85/475, 7850/1649

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 85/475, 7850/1649?

Answer: LCM of Numerators as per given numbers 85/475, 7850/1649 is

LCM of Numerators i.e. for 85,7850 is 133450

GCF of denominators i.e. for 475,1649 is 1.

Thus, LCM of Fractions is 133450.Finally, LCM of Fractions for 85/475, 7850/1649 is 133450.