Least Common Multiple of 754/98, 844/28, 980/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/98, 844/28, 980/370 quickly i.e. 38978030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/98, 844/28, 980/370 is 38978030.

LCM(754/98, 844/28, 980/370) = 38978030

LCM of 754/98, 844/28, 980/370

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 754/98,844/28,980/370

Given numbers are 754/98,844/28,980/370

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 754,844,980

Least Common Multiple of Numerators i.e. LCM of 754,844,980 is 77956060.

GCF of Denominators means GCF of 98,28,370 as per the given fractions.

GCF of 98,28,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,844,980

LCM of Fractions 754/98,844/28,980/370 is 38978030

2 754, 844, 980
2 377, 422, 490
377, 211, 245

∴ So the LCM of the given numbers is 2 x 2 x 377 x 211 x 245 = 77956060

Least Common Multiple of 754,844,980 with GCF Formula

Least Common Multiple of 754,844,980 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 754,844,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,844,980) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(754,844,980) x common factors =2 x 4 = 8

LCM(754,844,980) = ( 754 × 844 × 980 ) / 8

LCM(754,844,980) = 623648480 / 8

LCM(754,844,980) = 77956060


Lets's calculate GCF of 98,28,370

2 98, 28, 370
49, 14, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77956060/2

Therefore the LCM of Fractions 754/98,844/28,980/370 is 38978030

Greatest Common Factor of 98,28,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,28,370 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 28

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

1,2,4,7,14,28

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 98,28,370 . The biggest common factor number is the GCF number.
So the greatest common factor 98,28,370 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 754/98, 844/28, 980/370

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 754/98, 844/28, 980/370?

Answer: LCM of Numerators as per given numbers 754/98, 844/28, 980/370 is

LCM of Numerators i.e. for 754,844,980 is 77956060

GCF of denominators i.e. for 98,28,370 is 2.

Thus, LCM of Fractions is 38978030.Finally, LCM of Fractions for 754/98, 844/28, 980/370 is 38978030.