Least Common Multiple of 762/92, 686/28, 698/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/92, 686/28, 698/702 quickly i.e. 45608367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/92, 686/28, 698/702 is 45608367.

LCM(762/92, 686/28, 698/702) = 45608367

LCM of 762/92, 686/28, 698/702

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 762/92,686/28,698/702

Given numbers are 762/92,686/28,698/702

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 762,686,698

Least Common Multiple of Numerators i.e. LCM of 762,686,698 is 91216734.

GCF of Denominators means GCF of 92,28,702 as per the given fractions.

GCF of 92,28,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,686,698

LCM of Fractions 762/92,686/28,698/702 is 45608367

2 762, 686, 698
381, 343, 349

∴ So the LCM of the given numbers is 2 x 381 x 343 x 349 = 91216734

Least Common Multiple of 762,686,698 with GCF Formula

Least Common Multiple of 762,686,698 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 762,686,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,686,698) = 2

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

GCF(762,686,698) x common factors =2 x 2 = 4

LCM(762,686,698) = ( 762 × 686 × 698 ) / 4

LCM(762,686,698) = 364866936 / 4

LCM(762,686,698) = 91216734


Lets's calculate GCF of 92,28,702

2 92, 28, 702
46, 14, 351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91216734/2

Therefore the LCM of Fractions 762/92,686/28,698/702 is 45608367

Greatest Common Factor of 92,28,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,28,702 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 92,28,702 . The biggest common factor number is the GCF number.
So the greatest common factor 92,28,702 is 2.


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 762/92, 686/28, 698/702

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 762/92, 686/28, 698/702?

Answer: LCM of Numerators as per given numbers 762/92, 686/28, 698/702 is

LCM of Numerators i.e. for 762,686,698 is 91216734

GCF of denominators i.e. for 92,28,702 is 2.

Thus, LCM of Fractions is 45608367.Finally, LCM of Fractions for 762/92, 686/28, 698/702 is 45608367.