Least Common Multiple of 83/207, 751/705, 961/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/207, 751/705, 961/850 quickly i.e. 59902013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/207, 751/705, 961/850 is 59902013.

LCM(83/207, 751/705, 961/850) = 59902013

LCM of 83/207, 751/705, 961/850

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 83/207,751/705,961/850

Given numbers are 83/207,751/705,961/850

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 83,751,961

Least Common Multiple of Numerators i.e. LCM of 83,751,961 is 59902013.

GCF of Denominators means GCF of 207,705,850 as per the given fractions.

GCF of 207,705,850 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,751,961

LCM of Fractions 83/207,751/705,961/850 is 59902013

Given numbers has no common factors except 1. So, there LCM is their product i.e 59902013

Least Common Multiple of 83,751,961 with GCF Formula

Least Common Multiple of 83,751,961 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 83,751,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,751,961) = 1

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

GCF(83,751,961) x common factors =1 x 1 = 1

LCM(83,751,961) = ( 83 × 751 × 961 ) / 1

LCM(83,751,961) = 59902013 / 1

LCM(83,751,961) = 59902013


Lets's calculate GCF of 207,705,850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59902013/1

Therefore the LCM of Fractions 83/207,751/705,961/850 is 59902013

Greatest Common Factor of 207,705,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,705,850 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

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 207,705,850 . The biggest common factor number is the GCF number.
So the greatest common factor 207,705,850 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 83/207, 751/705, 961/850

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 83/207, 751/705, 961/850?

Answer: LCM of Numerators as per given numbers 83/207, 751/705, 961/850 is

LCM of Numerators i.e. for 83,751,961 is 59902013

GCF of denominators i.e. for 207,705,850 is 1.

Thus, LCM of Fractions is 59902013.Finally, LCM of Fractions for 83/207, 751/705, 961/850 is 59902013.