Least Common Multiple of 670/999, 425/957, 125/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 670/999, 425/957, 125/785 quickly i.e. 284750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/999, 425/957, 125/785 is 284750.

LCM(670/999, 425/957, 125/785) = 284750

LCM of 670/999, 425/957, 125/785

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 670/999,425/957,125/785

Given numbers are 670/999,425/957,125/785

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 670,425,125

Least Common Multiple of Numerators i.e. LCM of 670,425,125 is 284750.

GCF of Denominators means GCF of 999,957,785 as per the given fractions.

GCF of 999,957,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,425,125

LCM of Fractions 670/999,425/957,125/785 is 284750

5 670, 425, 125
5 134, 85, 25
134, 17, 5

∴ So the LCM of the given numbers is 5 x 5 x 134 x 17 x 5 = 284750

Least Common Multiple of 670,425,125 with GCF Formula

Least Common Multiple of 670,425,125 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 670,425,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,425,125) = 5

common factors(in case of two or more numbers have common factors) = 25

GCF(670,425,125) x common factors =5 x 25 = 125

LCM(670,425,125) = ( 670 × 425 × 125 ) / 125

LCM(670,425,125) = 35593750 / 125

LCM(670,425,125) = 284750


Lets's calculate GCF of 999,957,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284750/1

Therefore the LCM of Fractions 670/999,425/957,125/785 is 284750

Greatest Common Factor of 999,957,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,957,785 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 999,957,785 . The biggest common factor number is the GCF number.
So the greatest common factor 999,957,785 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 670/999, 425/957, 125/785

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 670/999, 425/957, 125/785?

Answer: LCM of Numerators as per given numbers 670/999, 425/957, 125/785 is

LCM of Numerators i.e. for 670,425,125 is 284750

GCF of denominators i.e. for 999,957,785 is 1.

Thus, LCM of Fractions is 284750.Finally, LCM of Fractions for 670/999, 425/957, 125/785 is 284750.