Least Common Multiple of 9495/85, 3698/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9495/85, 3698/850 quickly i.e. 35112510/85 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9495/85, 3698/850 is 35112510/85.

LCM(9495/85, 3698/850) = 35112510/85

LCM of 9495/85, 3698/850

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 9495/85,3698/850

Given numbers are 9495/85,3698/850

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 9495,3698

Least Common Multiple of Numerators i.e. LCM of 9495,3698 is 35112510.

GCF of Denominators means GCF of 85,850 as per the given fractions.

GCF of 85,850 is 85 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9495,3698

LCM of Fractions 9495/85,3698/850 is 35112510/85

Given numbers has no common factors except 1. So, there LCM is their product i.e 35112510

Least Common Multiple of 9495,3698 with GCF Formula

Least Common Multiple of 9495,3698 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 9495,3698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9495,3698) = 1

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

GCF(9495,3698) x common factors =1 x 1 = 1

LCM(9495,3698) = ( 9495 × 3698 ) / 1

LCM(9495,3698) = 35112510 / 1

LCM(9495,3698) = 35112510


Lets's calculate GCF of 85,850

5 85, 850
17 17, 170
1, 10

∴ So the GCF of the given numbers is 5 x 17 = 85

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35112510/85

Therefore the LCM of Fractions 9495/85,3698/850 is 35112510/85

Greatest Common Factor of 85,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,850 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 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 85,850 . The biggest common factor number is the GCF number.
So the greatest common factor 85,850 is 85.


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 9495/85, 3698/850

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 9495/85, 3698/850?

Answer: LCM of Numerators as per given numbers 9495/85, 3698/850 is

LCM of Numerators i.e. for 9495,3698 is 35112510

GCF of denominators i.e. for 85,850 is 85.

Thus, LCM of Fractions is 35112510/85.Finally, LCM of Fractions for 9495/85, 3698/850 is 35112510/85.