Least Common Multiple of 700/936, 4609/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/936, 4609/214 quickly i.e. 1613150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/936, 4609/214 is 1613150.

LCM(700/936, 4609/214) = 1613150

LCM of 700/936, 4609/214

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 700/936,4609/214

Given numbers are 700/936,4609/214

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 700,4609

Least Common Multiple of Numerators i.e. LCM of 700,4609 is 3226300.

GCF of Denominators means GCF of 936,214 as per the given fractions.

GCF of 936,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,4609

LCM of Fractions 700/936,4609/214 is 1613150

Given numbers has no common factors except 1. So, there LCM is their product i.e 3226300

Least Common Multiple of 700,4609 with GCF Formula

Least Common Multiple of 700,4609 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 700,4609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,4609) = 1

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

GCF(700,4609) x common factors =1 x 1 = 1

LCM(700,4609) = ( 700 × 4609 ) / 1

LCM(700,4609) = 3226300 / 1

LCM(700,4609) = 3226300


Lets's calculate GCF of 936,214

2 936, 214
468, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3226300/2

Therefore the LCM of Fractions 700/936,4609/214 is 1613150

Greatest Common Factor of 936,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,214 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 936,214 . The biggest common factor number is the GCF number.
So the greatest common factor 936,214 is 2.


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 700/936, 4609/214

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 700/936, 4609/214?

Answer: LCM of Numerators as per given numbers 700/936, 4609/214 is

LCM of Numerators i.e. for 700,4609 is 3226300

GCF of denominators i.e. for 936,214 is 2.

Thus, LCM of Fractions is 1613150.Finally, LCM of Fractions for 700/936, 4609/214 is 1613150.