Least Common Multiple of 850/70, 975/83, 498/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/70, 975/83, 498/86 quickly i.e. 2751450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/70, 975/83, 498/86 is 2751450.

LCM(850/70, 975/83, 498/86) = 2751450

LCM of 850/70, 975/83, 498/86

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 850/70,975/83,498/86

Given numbers are 850/70,975/83,498/86

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 850,975,498

Least Common Multiple of Numerators i.e. LCM of 850,975,498 is 2751450.

GCF of Denominators means GCF of 70,83,86 as per the given fractions.

GCF of 70,83,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,975,498

LCM of Fractions 850/70,975/83,498/86 is 2751450

2 850, 975, 498
3 425, 975, 249
5 425, 325, 83
5 85, 65, 83
17, 13, 83

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 17 x 13 x 83 = 2751450

Least Common Multiple of 850,975,498 with GCF Formula

Least Common Multiple of 850,975,498 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 850,975,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,975,498) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(850,975,498) x common factors =1 x 150 = 150

LCM(850,975,498) = ( 850 × 975 × 498 ) / 150

LCM(850,975,498) = 412717500 / 150

LCM(850,975,498) = 2751450


Lets's calculate GCF of 70,83,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2751450/1

Therefore the LCM of Fractions 850/70,975/83,498/86 is 2751450

Greatest Common Factor of 70,83,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,83,86 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 70,83,86 . The biggest common factor number is the GCF number.
So the greatest common factor 70,83,86 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 850/70, 975/83, 498/86

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 850/70, 975/83, 498/86?

Answer: LCM of Numerators as per given numbers 850/70, 975/83, 498/86 is

LCM of Numerators i.e. for 850,975,498 is 2751450

GCF of denominators i.e. for 70,83,86 is 1.

Thus, LCM of Fractions is 2751450.Finally, LCM of Fractions for 850/70, 975/83, 498/86 is 2751450.