Least Common Multiple of 700/79, 430/82, 550/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/79, 430/82, 550/22 quickly i.e. 331100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/79, 430/82, 550/22 is 331100.

LCM(700/79, 430/82, 550/22) = 331100

LCM of 700/79, 430/82, 550/22

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 700/79,430/82,550/22

Given numbers are 700/79,430/82,550/22

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 700,430,550

Least Common Multiple of Numerators i.e. LCM of 700,430,550 is 331100.

GCF of Denominators means GCF of 79,82,22 as per the given fractions.

GCF of 79,82,22 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,430,550

LCM of Fractions 700/79,430/82,550/22 is 331100

2 700, 430, 550
5 350, 215, 275
5 70, 43, 55
14, 43, 11

∴ So the LCM of the given numbers is 2 x 5 x 5 x 14 x 43 x 11 = 331100

Least Common Multiple of 700,430,550 with GCF Formula

Least Common Multiple of 700,430,550 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 700,430,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,430,550) = 10

common factors(in case of two or more numbers have common factors) = 50

GCF(700,430,550) x common factors =10 x 50 = 500

LCM(700,430,550) = ( 700 × 430 × 550 ) / 500

LCM(700,430,550) = 165550000 / 500

LCM(700,430,550) = 331100


Lets's calculate GCF of 79,82,22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331100/1

Therefore the LCM of Fractions 700/79,430/82,550/22 is 331100

Greatest Common Factor of 79,82,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,82,22 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 79,82,22 . The biggest common factor number is the GCF number.
So the greatest common factor 79,82,22 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 700/79, 430/82, 550/22

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 700/79, 430/82, 550/22?

Answer: LCM of Numerators as per given numbers 700/79, 430/82, 550/22 is

LCM of Numerators i.e. for 700,430,550 is 331100

GCF of denominators i.e. for 79,82,22 is 1.

Thus, LCM of Fractions is 331100.Finally, LCM of Fractions for 700/79, 430/82, 550/22 is 331100.