Least Common Multiple of 701/874, 495/190, 570/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 701/874, 495/190, 570/163 quickly i.e. 13185810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/874, 495/190, 570/163 is 13185810.

LCM(701/874, 495/190, 570/163) = 13185810

LCM of 701/874, 495/190, 570/163

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 701/874,495/190,570/163

Given numbers are 701/874,495/190,570/163

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 701,495,570

Least Common Multiple of Numerators i.e. LCM of 701,495,570 is 13185810.

GCF of Denominators means GCF of 874,190,163 as per the given fractions.

GCF of 874,190,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,495,570

LCM of Fractions 701/874,495/190,570/163 is 13185810

3 701, 495, 570
5 701, 165, 190
701, 33, 38

∴ So the LCM of the given numbers is 3 x 5 x 701 x 33 x 38 = 13185810

Least Common Multiple of 701,495,570 with GCF Formula

Least Common Multiple of 701,495,570 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 701,495,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,495,570) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(701,495,570) x common factors =1 x 15 = 15

LCM(701,495,570) = ( 701 × 495 × 570 ) / 15

LCM(701,495,570) = 197787150 / 15

LCM(701,495,570) = 13185810


Lets's calculate GCF of 874,190,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13185810/1

Therefore the LCM of Fractions 701/874,495/190,570/163 is 13185810

Greatest Common Factor of 874,190,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,190,163 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 874,190,163 . The biggest common factor number is the GCF number.
So the greatest common factor 874,190,163 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 701/874, 495/190, 570/163

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 701/874, 495/190, 570/163?

Answer: LCM of Numerators as per given numbers 701/874, 495/190, 570/163 is

LCM of Numerators i.e. for 701,495,570 is 13185810

GCF of denominators i.e. for 874,190,163 is 1.

Thus, LCM of Fractions is 13185810.Finally, LCM of Fractions for 701/874, 495/190, 570/163 is 13185810.