Least Common Multiple of 43/38, 759/74, 700/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/38, 759/74, 700/157 quickly i.e. 22845900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/38, 759/74, 700/157 is 22845900.

LCM(43/38, 759/74, 700/157) = 22845900

LCM of 43/38, 759/74, 700/157

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 43/38,759/74,700/157

Given numbers are 43/38,759/74,700/157

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 43,759,700

Least Common Multiple of Numerators i.e. LCM of 43,759,700 is 22845900.

GCF of Denominators means GCF of 38,74,157 as per the given fractions.

GCF of 38,74,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,759,700

LCM of Fractions 43/38,759/74,700/157 is 22845900

Given numbers has no common factors except 1. So, there LCM is their product i.e 22845900

Least Common Multiple of 43,759,700 with GCF Formula

Least Common Multiple of 43,759,700 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 43,759,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,759,700) = 1

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

GCF(43,759,700) x common factors =1 x 1 = 1

LCM(43,759,700) = ( 43 × 759 × 700 ) / 1

LCM(43,759,700) = 22845900 / 1

LCM(43,759,700) = 22845900


Lets's calculate GCF of 38,74,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22845900/1

Therefore the LCM of Fractions 43/38,759/74,700/157 is 22845900

Greatest Common Factor of 38,74,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,74,157 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 38,74,157 . The biggest common factor number is the GCF number.
So the greatest common factor 38,74,157 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/38, 759/74, 700/157

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 43/38, 759/74, 700/157?

Answer: LCM of Numerators as per given numbers 43/38, 759/74, 700/157 is

LCM of Numerators i.e. for 43,759,700 is 22845900

GCF of denominators i.e. for 38,74,157 is 1.

Thus, LCM of Fractions is 22845900.Finally, LCM of Fractions for 43/38, 759/74, 700/157 is 22845900.