Least Common Multiple of 917/67, 128/64, 995/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 917/67, 128/64, 995/685 quickly i.e. 116789120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/67, 128/64, 995/685 is 116789120.

LCM(917/67, 128/64, 995/685) = 116789120

LCM of 917/67, 128/64, 995/685

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 917/67,128/64,995/685

Given numbers are 917/67,128/64,995/685

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 917,128,995

Least Common Multiple of Numerators i.e. LCM of 917,128,995 is 116789120.

GCF of Denominators means GCF of 67,64,685 as per the given fractions.

GCF of 67,64,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,128,995

LCM of Fractions 917/67,128/64,995/685 is 116789120

Given numbers has no common factors except 1. So, there LCM is their product i.e 116789120

Least Common Multiple of 917,128,995 with GCF Formula

Least Common Multiple of 917,128,995 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 917,128,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,128,995) = 1

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

GCF(917,128,995) x common factors =1 x 1 = 1

LCM(917,128,995) = ( 917 × 128 × 995 ) / 1

LCM(917,128,995) = 116789120 / 1

LCM(917,128,995) = 116789120


Lets's calculate GCF of 67,64,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116789120/1

Therefore the LCM of Fractions 917/67,128/64,995/685 is 116789120

Greatest Common Factor of 67,64,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,64,685 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 67,64,685 . The biggest common factor number is the GCF number.
So the greatest common factor 67,64,685 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 917/67, 128/64, 995/685

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 917/67, 128/64, 995/685?

Answer: LCM of Numerators as per given numbers 917/67, 128/64, 995/685 is

LCM of Numerators i.e. for 917,128,995 is 116789120

GCF of denominators i.e. for 67,64,685 is 1.

Thus, LCM of Fractions is 116789120.Finally, LCM of Fractions for 917/67, 128/64, 995/685 is 116789120.