Least Common Multiple of 970/43, 798/99, 440/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 970/43, 798/99, 440/437 quickly i.e. 17029320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/43, 798/99, 440/437 is 17029320.

LCM(970/43, 798/99, 440/437) = 17029320

LCM of 970/43, 798/99, 440/437

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 970/43,798/99,440/437

Given numbers are 970/43,798/99,440/437

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 970,798,440

Least Common Multiple of Numerators i.e. LCM of 970,798,440 is 17029320.

GCF of Denominators means GCF of 43,99,437 as per the given fractions.

GCF of 43,99,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,798,440

LCM of Fractions 970/43,798/99,440/437 is 17029320

2 970, 798, 440
5 485, 399, 220
97, 399, 44

∴ So the LCM of the given numbers is 2 x 5 x 97 x 399 x 44 = 17029320

Least Common Multiple of 970,798,440 with GCF Formula

Least Common Multiple of 970,798,440 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 970,798,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,798,440) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(970,798,440) x common factors =2 x 10 = 20

LCM(970,798,440) = ( 970 × 798 × 440 ) / 20

LCM(970,798,440) = 340586400 / 20

LCM(970,798,440) = 17029320


Lets's calculate GCF of 43,99,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17029320/1

Therefore the LCM of Fractions 970/43,798/99,440/437 is 17029320

Greatest Common Factor of 43,99,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,99,437 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 43,99,437 . The biggest common factor number is the GCF number.
So the greatest common factor 43,99,437 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 970/43, 798/99, 440/437

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 970/43, 798/99, 440/437?

Answer: LCM of Numerators as per given numbers 970/43, 798/99, 440/437 is

LCM of Numerators i.e. for 970,798,440 is 17029320

GCF of denominators i.e. for 43,99,437 is 1.

Thus, LCM of Fractions is 17029320.Finally, LCM of Fractions for 970/43, 798/99, 440/437 is 17029320.