Least Common Multiple of 2380/551, 6705/7526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2380/551, 6705/7526 quickly i.e. 3191580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2380/551, 6705/7526 is 3191580.

LCM(2380/551, 6705/7526) = 3191580

LCM of 2380/551, 6705/7526

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 2380/551,6705/7526

Given numbers are 2380/551,6705/7526

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 2380,6705

Least Common Multiple of Numerators i.e. LCM of 2380,6705 is 3191580.

GCF of Denominators means GCF of 551,7526 as per the given fractions.

GCF of 551,7526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2380,6705

LCM of Fractions 2380/551,6705/7526 is 3191580

5 2380, 6705
476, 1341

∴ So the LCM of the given numbers is 5 x 476 x 1341 = 3191580

Least Common Multiple of 2380,6705 with GCF Formula

Least Common Multiple of 2380,6705 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 2380,6705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2380,6705) = 5

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

GCF(2380,6705) x common factors =5 x 1 = 5

LCM(2380,6705) = ( 2380 × 6705 ) / 5

LCM(2380,6705) = 15957900 / 5

LCM(2380,6705) = 3191580


Lets's calculate GCF of 551,7526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3191580/1

Therefore the LCM of Fractions 2380/551,6705/7526 is 3191580

Greatest Common Factor of 551,7526 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,7526 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 7526

List of positive integer factors of 7526 that divides 7526 without a remainder.

1,2,53,71,106,142,3763,7526

Greatest Common Factor

We found the factors 551,7526 . The biggest common factor number is the GCF number.
So the greatest common factor 551,7526 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2380/551, 6705/7526

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 2380/551, 6705/7526?

Answer: LCM of Numerators as per given numbers 2380/551, 6705/7526 is

LCM of Numerators i.e. for 2380,6705 is 3191580

GCF of denominators i.e. for 551,7526 is 1.

Thus, LCM of Fractions is 3191580.Finally, LCM of Fractions for 2380/551, 6705/7526 is 3191580.