Least Common Multiple of 2360/677, 9176/7030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2360/677, 9176/7030 quickly i.e. 2706920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2360/677, 9176/7030 is 2706920.

LCM(2360/677, 9176/7030) = 2706920

LCM of 2360/677, 9176/7030

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 2360/677,9176/7030

Given numbers are 2360/677,9176/7030

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 2360,9176

Least Common Multiple of Numerators i.e. LCM of 2360,9176 is 2706920.

GCF of Denominators means GCF of 677,7030 as per the given fractions.

GCF of 677,7030 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2360,9176

LCM of Fractions 2360/677,9176/7030 is 2706920

2 2360, 9176
2 1180, 4588
2 590, 2294
295, 1147

∴ So the LCM of the given numbers is 2 x 2 x 2 x 295 x 1147 = 2706920

Least Common Multiple of 2360,9176 with GCF Formula

Least Common Multiple of 2360,9176 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 2360,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2360,9176) = 8

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

GCF(2360,9176) x common factors =8 x 1 = 8

LCM(2360,9176) = ( 2360 × 9176 ) / 8

LCM(2360,9176) = 21655360 / 8

LCM(2360,9176) = 2706920


Lets's calculate GCF of 677,7030

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2706920/1

Therefore the LCM of Fractions 2360/677,9176/7030 is 2706920

Greatest Common Factor of 677,7030 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,7030 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors 677,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 677,7030 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2360/677, 9176/7030

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 2360/677, 9176/7030?

Answer: LCM of Numerators as per given numbers 2360/677, 9176/7030 is

LCM of Numerators i.e. for 2360,9176 is 2706920

GCF of denominators i.e. for 677,7030 is 1.

Thus, LCM of Fractions is 2706920.Finally, LCM of Fractions for 2360/677, 9176/7030 is 2706920.