Least Common Multiple of 770/88, 623/41, 220/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 770/88, 623/41, 220/247 quickly i.e. 137060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/88, 623/41, 220/247 is 137060.

LCM(770/88, 623/41, 220/247) = 137060

LCM of 770/88, 623/41, 220/247

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 770/88,623/41,220/247

Given numbers are 770/88,623/41,220/247

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 770,623,220

Least Common Multiple of Numerators i.e. LCM of 770,623,220 is 137060.

GCF of Denominators means GCF of 88,41,247 as per the given fractions.

GCF of 88,41,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,623,220

LCM of Fractions 770/88,623/41,220/247 is 137060

2 770, 623, 220
5 385, 623, 110
7 77, 623, 22
11 11, 89, 22
1, 89, 2

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 1 x 89 x 2 = 137060

Least Common Multiple of 770,623,220 with GCF Formula

Least Common Multiple of 770,623,220 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 770,623,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,623,220) = 1

common factors(in case of two or more numbers have common factors) = 770

GCF(770,623,220) x common factors =1 x 770 = 770

LCM(770,623,220) = ( 770 × 623 × 220 ) / 770

LCM(770,623,220) = 105536200 / 770

LCM(770,623,220) = 137060


Lets's calculate GCF of 88,41,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137060/1

Therefore the LCM of Fractions 770/88,623/41,220/247 is 137060

Greatest Common Factor of 88,41,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,41,247 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 88,41,247 . The biggest common factor number is the GCF number.
So the greatest common factor 88,41,247 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 770/88, 623/41, 220/247

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 770/88, 623/41, 220/247?

Answer: LCM of Numerators as per given numbers 770/88, 623/41, 220/247 is

LCM of Numerators i.e. for 770,623,220 is 137060

GCF of denominators i.e. for 88,41,247 is 1.

Thus, LCM of Fractions is 137060.Finally, LCM of Fractions for 770/88, 623/41, 220/247 is 137060.