Least Common Multiple of 674/220, 9085/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/220, 9085/770 quickly i.e. 6123290/110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/220, 9085/770 is 6123290/110.

LCM(674/220, 9085/770) = 6123290/110

LCM of 674/220, 9085/770

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 674/220,9085/770

Given numbers are 674/220,9085/770

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 674,9085

Least Common Multiple of Numerators i.e. LCM of 674,9085 is 6123290.

GCF of Denominators means GCF of 220,770 as per the given fractions.

GCF of 220,770 is 110 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,9085

LCM of Fractions 674/220,9085/770 is 6123290/110

Given numbers has no common factors except 1. So, there LCM is their product i.e 6123290

Least Common Multiple of 674,9085 with GCF Formula

Least Common Multiple of 674,9085 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 674,9085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,9085) = 1

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

GCF(674,9085) x common factors =1 x 1 = 1

LCM(674,9085) = ( 674 × 9085 ) / 1

LCM(674,9085) = 6123290 / 1

LCM(674,9085) = 6123290


Lets's calculate GCF of 220,770

2 220, 770
5 110, 385
11 22, 77
2, 7

∴ So the GCF of the given numbers is 2 x 5 x 11 = 110

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6123290/110

Therefore the LCM of Fractions 674/220,9085/770 is 6123290/110

Greatest Common Factor of 220,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,770 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 220,770 . The biggest common factor number is the GCF number.
So the greatest common factor 220,770 is 110.


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 674/220, 9085/770

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 674/220, 9085/770?

Answer: LCM of Numerators as per given numbers 674/220, 9085/770 is

LCM of Numerators i.e. for 674,9085 is 6123290

GCF of denominators i.e. for 220,770 is 110.

Thus, LCM of Fractions is 6123290/110.Finally, LCM of Fractions for 674/220, 9085/770 is 6123290/110.