Least Common Multiple of 676/52, 917/68, 699/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 676/52, 917/68, 699/532 quickly i.e. 108326127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/52, 917/68, 699/532 is 108326127.

LCM(676/52, 917/68, 699/532) = 108326127

LCM of 676/52, 917/68, 699/532

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 676/52,917/68,699/532

Given numbers are 676/52,917/68,699/532

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 676,917,699

Least Common Multiple of Numerators i.e. LCM of 676,917,699 is 433304508.

GCF of Denominators means GCF of 52,68,532 as per the given fractions.

GCF of 52,68,532 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,917,699

LCM of Fractions 676/52,917/68,699/532 is 108326127

Given numbers has no common factors except 1. So, there LCM is their product i.e 433304508

Least Common Multiple of 676,917,699 with GCF Formula

Least Common Multiple of 676,917,699 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 676,917,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,917,699) = 1

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

GCF(676,917,699) x common factors =1 x 1 = 1

LCM(676,917,699) = ( 676 × 917 × 699 ) / 1

LCM(676,917,699) = 433304508 / 1

LCM(676,917,699) = 433304508


Lets's calculate GCF of 52,68,532

2 52, 68, 532
2 26, 34, 266
13, 17, 133

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433304508/4

Therefore the LCM of Fractions 676/52,917/68,699/532 is 108326127

Greatest Common Factor of 52,68,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,68,532 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 52,68,532 . The biggest common factor number is the GCF number.
So the greatest common factor 52,68,532 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 676/52, 917/68, 699/532

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 676/52, 917/68, 699/532?

Answer: LCM of Numerators as per given numbers 676/52, 917/68, 699/532 is

LCM of Numerators i.e. for 676,917,699 is 433304508

GCF of denominators i.e. for 52,68,532 is 4.

Thus, LCM of Fractions is 108326127.Finally, LCM of Fractions for 676/52, 917/68, 699/532 is 108326127.