Least Common Multiple of 4892/851, 7740/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4892/851, 7740/143 quickly i.e. 9466020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4892/851, 7740/143 is 9466020.

LCM(4892/851, 7740/143) = 9466020

LCM of 4892/851, 7740/143

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 4892/851,7740/143

Given numbers are 4892/851,7740/143

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 4892,7740

Least Common Multiple of Numerators i.e. LCM of 4892,7740 is 9466020.

GCF of Denominators means GCF of 851,143 as per the given fractions.

GCF of 851,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4892,7740

LCM of Fractions 4892/851,7740/143 is 9466020

2 4892, 7740
2 2446, 3870
1223, 1935

∴ So the LCM of the given numbers is 2 x 2 x 1223 x 1935 = 9466020

Least Common Multiple of 4892,7740 with GCF Formula

Least Common Multiple of 4892,7740 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 4892,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4892,7740) = 4

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

GCF(4892,7740) x common factors =4 x 1 = 4

LCM(4892,7740) = ( 4892 × 7740 ) / 4

LCM(4892,7740) = 37864080 / 4

LCM(4892,7740) = 9466020


Lets's calculate GCF of 851,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9466020/1

Therefore the LCM of Fractions 4892/851,7740/143 is 9466020

Greatest Common Factor of 851,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,143 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 851,143 . The biggest common factor number is the GCF number.
So the greatest common factor 851,143 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4892/851, 7740/143

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 4892/851, 7740/143?

Answer: LCM of Numerators as per given numbers 4892/851, 7740/143 is

LCM of Numerators i.e. for 4892,7740 is 9466020

GCF of denominators i.e. for 851,143 is 1.

Thus, LCM of Fractions is 9466020.Finally, LCM of Fractions for 4892/851, 7740/143 is 9466020.