Least Common Multiple of 2762/40, 3122/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2762/40, 3122/850 quickly i.e. 4311482/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2762/40, 3122/850 is 4311482/10.

LCM(2762/40, 3122/850) = 4311482/10

LCM of 2762/40, 3122/850

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 2762/40,3122/850

Given numbers are 2762/40,3122/850

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 2762,3122

Least Common Multiple of Numerators i.e. LCM of 2762,3122 is 4311482.

GCF of Denominators means GCF of 40,850 as per the given fractions.

GCF of 40,850 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2762,3122

LCM of Fractions 2762/40,3122/850 is 4311482/10

2 2762, 3122
1381, 1561

∴ So the LCM of the given numbers is 2 x 1381 x 1561 = 4311482

Least Common Multiple of 2762,3122 with GCF Formula

Least Common Multiple of 2762,3122 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 2762,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2762,3122) = 2

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

GCF(2762,3122) x common factors =2 x 1 = 2

LCM(2762,3122) = ( 2762 × 3122 ) / 2

LCM(2762,3122) = 8622964 / 2

LCM(2762,3122) = 4311482


Lets's calculate GCF of 40,850

2 40, 850
5 20, 425
4, 85

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4311482/10

Therefore the LCM of Fractions 2762/40,3122/850 is 4311482/10

Greatest Common Factor of 40,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,850 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 40,850 . The biggest common factor number is the GCF number.
So the greatest common factor 40,850 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2762/40, 3122/850

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 2762/40, 3122/850?

Answer: LCM of Numerators as per given numbers 2762/40, 3122/850 is

LCM of Numerators i.e. for 2762,3122 is 4311482

GCF of denominators i.e. for 40,850 is 10.

Thus, LCM of Fractions is 4311482/10.Finally, LCM of Fractions for 2762/40, 3122/850 is 4311482/10.