Least Common Multiple of 614/169, 689/770, 295/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/169, 689/770, 295/838 quickly i.e. 124798570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/169, 689/770, 295/838 is 124798570.

LCM(614/169, 689/770, 295/838) = 124798570

LCM of 614/169, 689/770, 295/838

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 614/169,689/770,295/838

Given numbers are 614/169,689/770,295/838

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 614,689,295

Least Common Multiple of Numerators i.e. LCM of 614,689,295 is 124798570.

GCF of Denominators means GCF of 169,770,838 as per the given fractions.

GCF of 169,770,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,689,295

LCM of Fractions 614/169,689/770,295/838 is 124798570

Given numbers has no common factors except 1. So, there LCM is their product i.e 124798570

Least Common Multiple of 614,689,295 with GCF Formula

Least Common Multiple of 614,689,295 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 614,689,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,689,295) = 1

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

GCF(614,689,295) x common factors =1 x 1 = 1

LCM(614,689,295) = ( 614 × 689 × 295 ) / 1

LCM(614,689,295) = 124798570 / 1

LCM(614,689,295) = 124798570


Lets's calculate GCF of 169,770,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124798570/1

Therefore the LCM of Fractions 614/169,689/770,295/838 is 124798570

Greatest Common Factor of 169,770,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,770,838 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 169,770,838 . The biggest common factor number is the GCF number.
So the greatest common factor 169,770,838 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 614/169, 689/770, 295/838

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 614/169, 689/770, 295/838?

Answer: LCM of Numerators as per given numbers 614/169, 689/770, 295/838 is

LCM of Numerators i.e. for 614,689,295 is 124798570

GCF of denominators i.e. for 169,770,838 is 1.

Thus, LCM of Fractions is 124798570.Finally, LCM of Fractions for 614/169, 689/770, 295/838 is 124798570.