Least Common Multiple of 280/211, 4756/7900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 280/211, 4756/7900 quickly i.e. 332920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/211, 4756/7900 is 332920.

LCM(280/211, 4756/7900) = 332920

LCM of 280/211, 4756/7900

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 280/211,4756/7900

Given numbers are 280/211,4756/7900

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 280,4756

Least Common Multiple of Numerators i.e. LCM of 280,4756 is 332920.

GCF of Denominators means GCF of 211,7900 as per the given fractions.

GCF of 211,7900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,4756

LCM of Fractions 280/211,4756/7900 is 332920

2 280, 4756
2 140, 2378
70, 1189

∴ So the LCM of the given numbers is 2 x 2 x 70 x 1189 = 332920

Least Common Multiple of 280,4756 with GCF Formula

Least Common Multiple of 280,4756 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 280,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,4756) = 4

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

GCF(280,4756) x common factors =4 x 1 = 4

LCM(280,4756) = ( 280 × 4756 ) / 4

LCM(280,4756) = 1331680 / 4

LCM(280,4756) = 332920


Lets's calculate GCF of 211,7900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332920/1

Therefore the LCM of Fractions 280/211,4756/7900 is 332920

Greatest Common Factor of 211,7900 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,7900 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Greatest Common Factor

We found the factors 211,7900 . The biggest common factor number is the GCF number.
So the greatest common factor 211,7900 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 280/211, 4756/7900

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 280/211, 4756/7900?

Answer: LCM of Numerators as per given numbers 280/211, 4756/7900 is

LCM of Numerators i.e. for 280,4756 is 332920

GCF of denominators i.e. for 211,7900 is 1.

Thus, LCM of Fractions is 332920.Finally, LCM of Fractions for 280/211, 4756/7900 is 332920.