Least Common Multiple of 34/714, 67/902, 930/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/714, 67/902, 930/755 quickly i.e. 1059270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/714, 67/902, 930/755 is 1059270.

LCM(34/714, 67/902, 930/755) = 1059270

LCM of 34/714, 67/902, 930/755

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 34/714,67/902,930/755

Given numbers are 34/714,67/902,930/755

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 34,67,930

Least Common Multiple of Numerators i.e. LCM of 34,67,930 is 1059270.

GCF of Denominators means GCF of 714,902,755 as per the given fractions.

GCF of 714,902,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,67,930

LCM of Fractions 34/714,67/902,930/755 is 1059270

2 34, 67, 930
17, 67, 465

∴ So the LCM of the given numbers is 2 x 17 x 67 x 465 = 1059270

Least Common Multiple of 34,67,930 with GCF Formula

Least Common Multiple of 34,67,930 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 34,67,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,67,930) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,67,930) x common factors =1 x 2 = 2

LCM(34,67,930) = ( 34 × 67 × 930 ) / 2

LCM(34,67,930) = 2118540 / 2

LCM(34,67,930) = 1059270


Lets's calculate GCF of 714,902,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1059270/1

Therefore the LCM of Fractions 34/714,67/902,930/755 is 1059270

Greatest Common Factor of 714,902,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,902,755 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 714,902,755 . The biggest common factor number is the GCF number.
So the greatest common factor 714,902,755 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 34/714, 67/902, 930/755

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 34/714, 67/902, 930/755?

Answer: LCM of Numerators as per given numbers 34/714, 67/902, 930/755 is

LCM of Numerators i.e. for 34,67,930 is 1059270

GCF of denominators i.e. for 714,902,755 is 1.

Thus, LCM of Fractions is 1059270.Finally, LCM of Fractions for 34/714, 67/902, 930/755 is 1059270.